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Finding the Third Proportional to 61,053.75 and 82,225.13

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Solution

The third proportional to 61,053.75 and 82,225.13 is: 110,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,053.75 : 82,225.13 = 82,225.13 : x
  2. Step 2: Convert to fraction form
    61,053.75/82,225.13 = 82,225.13/x
  3. Step 3: Cross multiply
    61,053.75x = 82,225.13 × 82,225.13
  4. Step 4: Simplify right side
    61,053.75x = 6,760,971,181.27
  5. Step 5: Solve for x
    x = 6,760,971,181.27/61,053.75
  6. Step 6: Final answer
    x = 110,738.02

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Why These Related Problems?

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