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Finding the Third Proportional to 45,461.25 and 61,152.75

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Solution

The third proportional to 45,461.25 and 61,152.75 is: 82,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461.25 : 61,152.75 = 61,152.75 : x
  2. Step 2: Convert to fraction form
    45,461.25/61,152.75 = 61,152.75/x
  3. Step 3: Cross multiply
    45,461.25x = 61,152.75 × 61,152.75
  4. Step 4: Simplify right side
    45,461.25x = 3,739,658,832.56
  5. Step 5: Solve for x
    x = 3,739,658,832.56/45,461.25
  6. Step 6: Final answer
    x = 82,260.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.