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Finding the Third Proportional to 10,597 and 23,015

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Solution

The third proportional to 10,597 and 23,015 is: 49,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597 : 23,015 = 23,015 : x
  2. Step 2: Convert to fraction form
    10,597/23,015 = 23,015/x
  3. Step 3: Cross multiply
    10,597x = 23,015 × 23,015
  4. Step 4: Simplify right side
    10,597x = 529,690,225
  5. Step 5: Solve for x
    x = 529,690,225/10,597
  6. Step 6: Final answer
    x = 49,984.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.