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Finding the Third Proportional to 16,112 and 23,730

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Solution

The third proportional to 16,112 and 23,730 is: 34,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112 : 23,730 = 23,730 : x
  2. Step 2: Convert to fraction form
    16,112/23,730 = 23,730/x
  3. Step 3: Cross multiply
    16,112x = 23,730 × 23,730
  4. Step 4: Simplify right side
    16,112x = 563,112,900
  5. Step 5: Solve for x
    x = 563,112,900/16,112
  6. Step 6: Final answer
    x = 34,949.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.