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Finding the Third Proportional to 31,297.64 and 48,535.45

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Solution

The third proportional to 31,297.64 and 48,535.45 is: 75,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.64 : 48,535.45 = 48,535.45 : x
  2. Step 2: Convert to fraction form
    31,297.64/48,535.45 = 48,535.45/x
  3. Step 3: Cross multiply
    31,297.64x = 48,535.45 × 48,535.45
  4. Step 4: Simplify right side
    31,297.64x = 2,355,690,210.05
  5. Step 5: Solve for x
    x = 2,355,690,210.05/31,297.64
  6. Step 6: Final answer
    x = 75,267.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.