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Finding the Third Proportional to 39,590 and 59,437

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Solution

The third proportional to 39,590 and 59,437 is: 89,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,590 : 59,437 = 59,437 : x
  2. Step 2: Convert to fraction form
    39,590/59,437 = 59,437/x
  3. Step 3: Cross multiply
    39,590x = 59,437 × 59,437
  4. Step 4: Simplify right side
    39,590x = 3,532,756,969
  5. Step 5: Solve for x
    x = 3,532,756,969/39,590
  6. Step 6: Final answer
    x = 89,233.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.