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Finding the Third Proportional to 39,510 and 88,407

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Solution

The third proportional to 39,510 and 88,407 is: 197,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,510 : 88,407 = 88,407 : x
  2. Step 2: Convert to fraction form
    39,510/88,407 = 88,407/x
  3. Step 3: Cross multiply
    39,510x = 88,407 × 88,407
  4. Step 4: Simplify right side
    39,510x = 7,815,797,649
  5. Step 5: Solve for x
    x = 7,815,797,649/39,510
  6. Step 6: Final answer
    x = 197,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.