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Finding the Third Proportional to 10,597 and 23,281

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Solution

The third proportional to 10,597 and 23,281 is: 51,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597 : 23,281 = 23,281 : x
  2. Step 2: Convert to fraction form
    10,597/23,281 = 23,281/x
  3. Step 3: Cross multiply
    10,597x = 23,281 × 23,281
  4. Step 4: Simplify right side
    10,597x = 542,004,961
  5. Step 5: Solve for x
    x = 542,004,961/10,597
  6. Step 6: Final answer
    x = 51,147.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.