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Finding the Third Proportional to 39,681 and 58,028

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Solution

The third proportional to 39,681 and 58,028 is: 84,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,681 : 58,028 = 58,028 : x
  2. Step 2: Convert to fraction form
    39,681/58,028 = 58,028/x
  3. Step 3: Cross multiply
    39,681x = 58,028 × 58,028
  4. Step 4: Simplify right side
    39,681x = 3,367,248,784
  5. Step 5: Solve for x
    x = 3,367,248,784/39,681
  6. Step 6: Final answer
    x = 84,857.96

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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.