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Finding the Third Proportional to 7,058.81 and 15,229.69

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Solution

The third proportional to 7,058.81 and 15,229.69 is: 32,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.81 : 15,229.69 = 15,229.69 : x
  2. Step 2: Convert to fraction form
    7,058.81/15,229.69 = 15,229.69/x
  3. Step 3: Cross multiply
    7,058.81x = 15,229.69 × 15,229.69
  4. Step 4: Simplify right side
    7,058.81x = 231,943,381.35
  5. Step 5: Solve for x
    x = 231,943,381.35/7,058.81
  6. Step 6: Final answer
    x = 32,858.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.