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Finding the Third Proportional to 38,498 and 56,415

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Solution

The third proportional to 38,498 and 56,415 is: 82,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498 : 56,415 = 56,415 : x
  2. Step 2: Convert to fraction form
    38,498/56,415 = 56,415/x
  3. Step 3: Cross multiply
    38,498x = 56,415 × 56,415
  4. Step 4: Simplify right side
    38,498x = 3,182,652,225
  5. Step 5: Solve for x
    x = 3,182,652,225/38,498
  6. Step 6: Final answer
    x = 82,670.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.