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Finding the Third Proportional to 39,140 and 59,556

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Solution

The third proportional to 39,140 and 59,556 is: 90,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,140 : 59,556 = 59,556 : x
  2. Step 2: Convert to fraction form
    39,140/59,556 = 59,556/x
  3. Step 3: Cross multiply
    39,140x = 59,556 × 59,556
  4. Step 4: Simplify right side
    39,140x = 3,546,917,136
  5. Step 5: Solve for x
    x = 3,546,917,136/39,140
  6. Step 6: Final answer
    x = 90,621.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.