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Finding the Third Proportional to 31,411 and 48,574.75

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Solution

The third proportional to 31,411 and 48,574.75 is: 75,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411 : 48,574.75 = 48,574.75 : x
  2. Step 2: Convert to fraction form
    31,411/48,574.75 = 48,574.75/x
  3. Step 3: Cross multiply
    31,411x = 48,574.75 × 48,574.75
  4. Step 4: Simplify right side
    31,411x = 2,359,506,337.56
  5. Step 5: Solve for x
    x = 2,359,506,337.56/31,411
  6. Step 6: Final answer
    x = 75,117.20

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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.