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Finding the Third Proportional to 36,488.25 and 75,710.25

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Solution

The third proportional to 36,488.25 and 75,710.25 is: 157,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488.25 : 75,710.25 = 75,710.25 : x
  2. Step 2: Convert to fraction form
    36,488.25/75,710.25 = 75,710.25/x
  3. Step 3: Cross multiply
    36,488.25x = 75,710.25 × 75,710.25
  4. Step 4: Simplify right side
    36,488.25x = 5,732,041,955.06
  5. Step 5: Solve for x
    x = 5,732,041,955.06/36,488.25
  6. Step 6: Final answer
    x = 157,092.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.