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Finding the Third Proportional to 37,082.81 and 58,959.14

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Solution

The third proportional to 37,082.81 and 58,959.14 is: 93,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,082.81 : 58,959.14 = 58,959.14 : x
  2. Step 2: Convert to fraction form
    37,082.81/58,959.14 = 58,959.14/x
  3. Step 3: Cross multiply
    37,082.81x = 58,959.14 × 58,959.14
  4. Step 4: Simplify right side
    37,082.81x = 3,476,180,263.24
  5. Step 5: Solve for x
    x = 3,476,180,263.24/37,082.81
  6. Step 6: Final answer
    x = 93,741.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.