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Finding the Third Proportional to 37,681.75 and 58,320.38

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Solution

The third proportional to 37,681.75 and 58,320.38 is: 90,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.75 : 58,320.38 = 58,320.38 : x
  2. Step 2: Convert to fraction form
    37,681.75/58,320.38 = 58,320.38/x
  3. Step 3: Cross multiply
    37,681.75x = 58,320.38 × 58,320.38
  4. Step 4: Simplify right side
    37,681.75x = 3,401,266,140.14
  5. Step 5: Solve for x
    x = 3,401,266,140.14/37,681.75
  6. Step 6: Final answer
    x = 90,262.96

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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.