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Finding the Third Proportional to 10,598 and 22,566

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Solution

The third proportional to 10,598 and 22,566 is: 48,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598 : 22,566 = 22,566 : x
  2. Step 2: Convert to fraction form
    10,598/22,566 = 22,566/x
  3. Step 3: Cross multiply
    10,598x = 22,566 × 22,566
  4. Step 4: Simplify right side
    10,598x = 509,224,356
  5. Step 5: Solve for x
    x = 509,224,356/10,598
  6. Step 6: Final answer
    x = 48,049.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.