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Finding the Third Proportional to 39,391 and 58,468

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Solution

The third proportional to 39,391 and 58,468 is: 86,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,391 : 58,468 = 58,468 : x
  2. Step 2: Convert to fraction form
    39,391/58,468 = 58,468/x
  3. Step 3: Cross multiply
    39,391x = 58,468 × 58,468
  4. Step 4: Simplify right side
    39,391x = 3,418,507,024
  5. Step 5: Solve for x
    x = 3,418,507,024/39,391
  6. Step 6: Final answer
    x = 86,783.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.