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Finding the Third Proportional to 19,527 and 29,940

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Solution

The third proportional to 19,527 and 29,940 is: 45,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527 : 29,940 = 29,940 : x
  2. Step 2: Convert to fraction form
    19,527/29,940 = 29,940/x
  3. Step 3: Cross multiply
    19,527x = 29,940 × 29,940
  4. Step 4: Simplify right side
    19,527x = 896,403,600
  5. Step 5: Solve for x
    x = 896,403,600/19,527
  6. Step 6: Final answer
    x = 45,905.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.