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Finding the Third Proportional to 48,037.78 and 76,741.17

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Solution

The third proportional to 48,037.78 and 76,741.17 is: 122,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,037.78 : 76,741.17 = 76,741.17 : x
  2. Step 2: Convert to fraction form
    48,037.78/76,741.17 = 76,741.17/x
  3. Step 3: Cross multiply
    48,037.78x = 76,741.17 × 76,741.17
  4. Step 4: Simplify right side
    48,037.78x = 5,889,207,460.75
  5. Step 5: Solve for x
    x = 5,889,207,460.75/48,037.78
  6. Step 6: Final answer
    x = 122,595.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.