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Finding the Third Proportional to 10,597 and 22,859

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Solution

The third proportional to 10,597 and 22,859 is: 49,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597 : 22,859 = 22,859 : x
  2. Step 2: Convert to fraction form
    10,597/22,859 = 22,859/x
  3. Step 3: Cross multiply
    10,597x = 22,859 × 22,859
  4. Step 4: Simplify right side
    10,597x = 522,533,881
  5. Step 5: Solve for x
    x = 522,533,881/10,597
  6. Step 6: Final answer
    x = 49,309.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.