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Finding the Third Proportional to 15,572 and 23,934

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Solution

The third proportional to 15,572 and 23,934 is: 36,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,572 : 23,934 = 23,934 : x
  2. Step 2: Convert to fraction form
    15,572/23,934 = 23,934/x
  3. Step 3: Cross multiply
    15,572x = 23,934 × 23,934
  4. Step 4: Simplify right side
    15,572x = 572,836,356
  5. Step 5: Solve for x
    x = 572,836,356/15,572
  6. Step 6: Final answer
    x = 36,786.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.