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Finding the Third Proportional to 39,144 and 59,559

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Solution

The third proportional to 39,144 and 59,559 is: 90,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,144 : 59,559 = 59,559 : x
  2. Step 2: Convert to fraction form
    39,144/59,559 = 59,559/x
  3. Step 3: Cross multiply
    39,144x = 59,559 × 59,559
  4. Step 4: Simplify right side
    39,144x = 3,547,274,481
  5. Step 5: Solve for x
    x = 3,547,274,481/39,144
  6. Step 6: Final answer
    x = 90,621.15

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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.