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Finding the Third Proportional to 10,572 and 22,688

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Solution

The third proportional to 10,572 and 22,688 is: 48,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 22,688 = 22,688 : x
  2. Step 2: Convert to fraction form
    10,572/22,688 = 22,688/x
  3. Step 3: Cross multiply
    10,572x = 22,688 × 22,688
  4. Step 4: Simplify right side
    10,572x = 514,745,344
  5. Step 5: Solve for x
    x = 514,745,344/10,572
  6. Step 6: Final answer
    x = 48,689.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.