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Finding the Third Proportional to 35,442 and 48,155.50

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Solution

The third proportional to 35,442 and 48,155.50 is: 65,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442 : 48,155.50 = 48,155.50 : x
  2. Step 2: Convert to fraction form
    35,442/48,155.50 = 48,155.50/x
  3. Step 3: Cross multiply
    35,442x = 48,155.50 × 48,155.50
  4. Step 4: Simplify right side
    35,442x = 2,318,952,180.25
  5. Step 5: Solve for x
    x = 2,318,952,180.25/35,442
  6. Step 6: Final answer
    x = 65,429.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.