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Finding the Third Proportional to 39,584 and 57,877

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Solution

The third proportional to 39,584 and 57,877 is: 84,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 57,877 = 57,877 : x
  2. Step 2: Convert to fraction form
    39,584/57,877 = 57,877/x
  3. Step 3: Cross multiply
    39,584x = 57,877 × 57,877
  4. Step 4: Simplify right side
    39,584x = 3,349,747,129
  5. Step 5: Solve for x
    x = 3,349,747,129/39,584
  6. Step 6: Final answer
    x = 84,623.77

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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.