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Finding the Third Proportional to 10,337 and 22,597

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Solution

The third proportional to 10,337 and 22,597 is: 49,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337 : 22,597 = 22,597 : x
  2. Step 2: Convert to fraction form
    10,337/22,597 = 22,597/x
  3. Step 3: Cross multiply
    10,337x = 22,597 × 22,597
  4. Step 4: Simplify right side
    10,337x = 510,624,409
  5. Step 5: Solve for x
    x = 510,624,409/10,337
  6. Step 6: Final answer
    x = 49,397.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.