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Finding the Third Proportional to 21,560 and 29,114

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Solution

The third proportional to 21,560 and 29,114 is: 39,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,560 : 29,114 = 29,114 : x
  2. Step 2: Convert to fraction form
    21,560/29,114 = 29,114/x
  3. Step 3: Cross multiply
    21,560x = 29,114 × 29,114
  4. Step 4: Simplify right side
    21,560x = 847,624,996
  5. Step 5: Solve for x
    x = 847,624,996/21,560
  6. Step 6: Final answer
    x = 39,314.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.