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Finding the Third Proportional to 39.02 and 58.32

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Solution

The third proportional to 39.02 and 58.32 is: 87.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 58.32 = 58.32 : x
  2. Step 2: Convert to fraction form
    39.02/58.32 = 58.32/x
  3. Step 3: Cross multiply
    39.02x = 58.32 × 58.32
  4. Step 4: Simplify right side
    39.02x = 3,401.71
  5. Step 5: Solve for x
    x = 3,401.71/39.02
  6. Step 6: Final answer
    x = 87.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.