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Finding the Third Proportional to 5,294.81 and 7,058.81

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Solution

The third proportional to 5,294.81 and 7,058.81 is: 9,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.81 : 7,058.81 = 7,058.81 : x
  2. Step 2: Convert to fraction form
    5,294.81/7,058.81 = 7,058.81/x
  3. Step 3: Cross multiply
    5,294.81x = 7,058.81 × 7,058.81
  4. Step 4: Simplify right side
    5,294.81x = 49,826,833.91
  5. Step 5: Solve for x
    x = 49,826,833.91/5,294.81
  6. Step 6: Final answer
    x = 9,410.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.