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Finding the Third Proportional to 31,416 and 45,432

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Solution

The third proportional to 31,416 and 45,432 is: 65,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 45,432 = 45,432 : x
  2. Step 2: Convert to fraction form
    31,416/45,432 = 45,432/x
  3. Step 3: Cross multiply
    31,416x = 45,432 × 45,432
  4. Step 4: Simplify right side
    31,416x = 2,064,066,624
  5. Step 5: Solve for x
    x = 2,064,066,624/31,416
  6. Step 6: Final answer
    x = 65,701.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.