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Finding the Third Proportional to 10,705 and 15,748

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Solution

The third proportional to 10,705 and 15,748 is: 23,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705 : 15,748 = 15,748 : x
  2. Step 2: Convert to fraction form
    10,705/15,748 = 15,748/x
  3. Step 3: Cross multiply
    10,705x = 15,748 × 15,748
  4. Step 4: Simplify right side
    10,705x = 247,999,504
  5. Step 5: Solve for x
    x = 247,999,504/10,705
  6. Step 6: Final answer
    x = 23,166.70

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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.