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Finding the Third Proportional to 37,868.25 and 58,633.13

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Solution

The third proportional to 37,868.25 and 58,633.13 is: 90,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,868.25 : 58,633.13 = 58,633.13 : x
  2. Step 2: Convert to fraction form
    37,868.25/58,633.13 = 58,633.13/x
  3. Step 3: Cross multiply
    37,868.25x = 58,633.13 × 58,633.13
  4. Step 4: Simplify right side
    37,868.25x = 3,437,843,347.27
  5. Step 5: Solve for x
    x = 3,437,843,347.27/37,868.25
  6. Step 6: Final answer
    x = 90,784.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.