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Finding the Third Proportional to 14,140 and 22,506

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Solution

The third proportional to 14,140 and 22,506 is: 35,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140 : 22,506 = 22,506 : x
  2. Step 2: Convert to fraction form
    14,140/22,506 = 22,506/x
  3. Step 3: Cross multiply
    14,140x = 22,506 × 22,506
  4. Step 4: Simplify right side
    14,140x = 506,520,036
  5. Step 5: Solve for x
    x = 506,520,036/14,140
  6. Step 6: Final answer
    x = 35,821.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.