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Finding the Third Proportional to 37,000.13 and 57,769.88

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Solution

The third proportional to 37,000.13 and 57,769.88 is: 90,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000.13 : 57,769.88 = 57,769.88 : x
  2. Step 2: Convert to fraction form
    37,000.13/57,769.88 = 57,769.88/x
  3. Step 3: Cross multiply
    37,000.13x = 57,769.88 × 57,769.88
  4. Step 4: Simplify right side
    37,000.13x = 3,337,358,457.52
  5. Step 5: Solve for x
    x = 3,337,358,457.52/37,000.13
  6. Step 6: Final answer
    x = 90,198.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.