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Finding the Third Proportional to 15,853 and 23,730

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Solution

The third proportional to 15,853 and 23,730 is: 35,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853 : 23,730 = 23,730 : x
  2. Step 2: Convert to fraction form
    15,853/23,730 = 23,730/x
  3. Step 3: Cross multiply
    15,853x = 23,730 × 23,730
  4. Step 4: Simplify right side
    15,853x = 563,112,900
  5. Step 5: Solve for x
    x = 563,112,900/15,853
  6. Step 6: Final answer
    x = 35,520.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.