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Finding the Third Proportional to 10,451 and 25,277

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Solution

The third proportional to 10,451 and 25,277 is: 61,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451 : 25,277 = 25,277 : x
  2. Step 2: Convert to fraction form
    10,451/25,277 = 25,277/x
  3. Step 3: Cross multiply
    10,451x = 25,277 × 25,277
  4. Step 4: Simplify right side
    10,451x = 638,926,729
  5. Step 5: Solve for x
    x = 638,926,729/10,451
  6. Step 6: Final answer
    x = 61,135.46

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.