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Finding the Third Proportional to 45,273.75 and 61,486.13

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Solution

The third proportional to 45,273.75 and 61,486.13 is: 83,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273.75 : 61,486.13 = 61,486.13 : x
  2. Step 2: Convert to fraction form
    45,273.75/61,486.13 = 61,486.13/x
  3. Step 3: Cross multiply
    45,273.75x = 61,486.13 × 61,486.13
  4. Step 4: Simplify right side
    45,273.75x = 3,780,543,567.52
  5. Step 5: Solve for x
    x = 3,780,543,567.52/45,273.75
  6. Step 6: Final answer
    x = 83,504.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.