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Finding the Third Proportional to 10,459 and 25,295

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Solution

The third proportional to 10,459 and 25,295 is: 61,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 25,295 = 25,295 : x
  2. Step 2: Convert to fraction form
    10,459/25,295 = 25,295/x
  3. Step 3: Cross multiply
    10,459x = 25,295 × 25,295
  4. Step 4: Simplify right side
    10,459x = 639,837,025
  5. Step 5: Solve for x
    x = 639,837,025/10,459
  6. Step 6: Final answer
    x = 61,175.74

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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.