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Finding the Third Proportional to 10,748 and 22,702

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Solution

The third proportional to 10,748 and 22,702 is: 47,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748 : 22,702 = 22,702 : x
  2. Step 2: Convert to fraction form
    10,748/22,702 = 22,702/x
  3. Step 3: Cross multiply
    10,748x = 22,702 × 22,702
  4. Step 4: Simplify right side
    10,748x = 515,380,804
  5. Step 5: Solve for x
    x = 515,380,804/10,748
  6. Step 6: Final answer
    x = 47,951.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.