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Finding the Third Proportional to 6,849.38 and 10,058.06

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Solution

The third proportional to 6,849.38 and 10,058.06 is: 14,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.38 : 10,058.06 = 10,058.06 : x
  2. Step 2: Convert to fraction form
    6,849.38/10,058.06 = 10,058.06/x
  3. Step 3: Cross multiply
    6,849.38x = 10,058.06 × 10,058.06
  4. Step 4: Simplify right side
    6,849.38x = 101,164,621.25
  5. Step 5: Solve for x
    x = 101,164,621.25/6,849.38
  6. Step 6: Final answer
    x = 14,769.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.