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Finding the Third Proportional to 41,710 and 61,459

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Solution

The third proportional to 41,710 and 61,459 is: 90,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,710 : 61,459 = 61,459 : x
  2. Step 2: Convert to fraction form
    41,710/61,459 = 61,459/x
  3. Step 3: Cross multiply
    41,710x = 61,459 × 61,459
  4. Step 4: Simplify right side
    41,710x = 3,777,208,681
  5. Step 5: Solve for x
    x = 3,777,208,681/41,710
  6. Step 6: Final answer
    x = 90,558.83

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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.