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Finding the Third Proportional to 7,058.81 and 15,347.39

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Solution

The third proportional to 7,058.81 and 15,347.39 is: 33,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.81 : 15,347.39 = 15,347.39 : x
  2. Step 2: Convert to fraction form
    7,058.81/15,347.39 = 15,347.39/x
  3. Step 3: Cross multiply
    7,058.81x = 15,347.39 × 15,347.39
  4. Step 4: Simplify right side
    7,058.81x = 235,542,399.00
  5. Step 5: Solve for x
    x = 235,542,399.00/7,058.81
  6. Step 6: Final answer
    x = 33,368.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.