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Finding the Third Proportional to 37,044 and 59,526

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Solution

The third proportional to 37,044 and 59,526 is: 95,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044 : 59,526 = 59,526 : x
  2. Step 2: Convert to fraction form
    37,044/59,526 = 59,526/x
  3. Step 3: Cross multiply
    37,044x = 59,526 × 59,526
  4. Step 4: Simplify right side
    37,044x = 3,543,344,676
  5. Step 5: Solve for x
    x = 3,543,344,676/37,044
  6. Step 6: Final answer
    x = 95,652.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.