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Finding the Third Proportional to 45,427.78 and 66,829.78

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Solution

The third proportional to 45,427.78 and 66,829.78 is: 98,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,427.78 : 66,829.78 = 66,829.78 : x
  2. Step 2: Convert to fraction form
    45,427.78/66,829.78 = 66,829.78/x
  3. Step 3: Cross multiply
    45,427.78x = 66,829.78 × 66,829.78
  4. Step 4: Simplify right side
    45,427.78x = 4,466,219,661.92
  5. Step 5: Solve for x
    x = 4,466,219,661.92/45,427.78
  6. Step 6: Final answer
    x = 98,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.