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Finding the Third Proportional to 39,858 and 62,520

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Solution

The third proportional to 39,858 and 62,520 is: 98,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 62,520 = 62,520 : x
  2. Step 2: Convert to fraction form
    39,858/62,520 = 62,520/x
  3. Step 3: Cross multiply
    39,858x = 62,520 × 62,520
  4. Step 4: Simplify right side
    39,858x = 3,908,750,400
  5. Step 5: Solve for x
    x = 3,908,750,400/39,858
  6. Step 6: Final answer
    x = 98,066.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.