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Finding the Third Proportional to 25,703 and 37,459

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Solution

The third proportional to 25,703 and 37,459 is: 54,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,703 : 37,459 = 37,459 : x
  2. Step 2: Convert to fraction form
    25,703/37,459 = 37,459/x
  3. Step 3: Cross multiply
    25,703x = 37,459 × 37,459
  4. Step 4: Simplify right side
    25,703x = 1,403,176,681
  5. Step 5: Solve for x
    x = 1,403,176,681/25,703
  6. Step 6: Final answer
    x = 54,591.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.