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Finding the Third Proportional to 9,875.11 and 13,972.92

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Solution

The third proportional to 9,875.11 and 13,972.92 is: 19,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.11 : 13,972.92 = 13,972.92 : x
  2. Step 2: Convert to fraction form
    9,875.11/13,972.92 = 13,972.92/x
  3. Step 3: Cross multiply
    9,875.11x = 13,972.92 × 13,972.92
  4. Step 4: Simplify right side
    9,875.11x = 195,242,545.72
  5. Step 5: Solve for x
    x = 195,242,545.72/9,875.11
  6. Step 6: Final answer
    x = 19,771.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.