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Finding the Third Proportional to 31,454 and 47,424

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Solution

The third proportional to 31,454 and 47,424 is: 71,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454 : 47,424 = 47,424 : x
  2. Step 2: Convert to fraction form
    31,454/47,424 = 47,424/x
  3. Step 3: Cross multiply
    31,454x = 47,424 × 47,424
  4. Step 4: Simplify right side
    31,454x = 2,249,035,776
  5. Step 5: Solve for x
    x = 2,249,035,776/31,454
  6. Step 6: Final answer
    x = 71,502.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.