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Finding the Third Proportional to 39,967.13 and 61,591.13

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Solution

The third proportional to 39,967.13 and 61,591.13 is: 94,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,967.13 : 61,591.13 = 61,591.13 : x
  2. Step 2: Convert to fraction form
    39,967.13/61,591.13 = 61,591.13/x
  3. Step 3: Cross multiply
    39,967.13x = 61,591.13 × 61,591.13
  4. Step 4: Simplify right side
    39,967.13x = 3,793,466,678.77
  5. Step 5: Solve for x
    x = 3,793,466,678.77/39,967.13
  6. Step 6: Final answer
    x = 94,914.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.