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Finding the Third Proportional to 48,053.25 and 66,035.25

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Solution

The third proportional to 48,053.25 and 66,035.25 is: 90,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,053.25 : 66,035.25 = 66,035.25 : x
  2. Step 2: Convert to fraction form
    48,053.25/66,035.25 = 66,035.25/x
  3. Step 3: Cross multiply
    48,053.25x = 66,035.25 × 66,035.25
  4. Step 4: Simplify right side
    48,053.25x = 4,360,654,242.56
  5. Step 5: Solve for x
    x = 4,360,654,242.56/48,053.25
  6. Step 6: Final answer
    x = 90,746.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.