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Finding the Third Proportional to 39,020 and 58,882

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Solution

The third proportional to 39,020 and 58,882 is: 88,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,020 : 58,882 = 58,882 : x
  2. Step 2: Convert to fraction form
    39,020/58,882 = 58,882/x
  3. Step 3: Cross multiply
    39,020x = 58,882 × 58,882
  4. Step 4: Simplify right side
    39,020x = 3,467,089,924
  5. Step 5: Solve for x
    x = 3,467,089,924/39,020
  6. Step 6: Final answer
    x = 88,854.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.