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Finding the Third Proportional to 6,981.19 and 10,927.69

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Solution

The third proportional to 6,981.19 and 10,927.69 is: 17,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.19 : 10,927.69 = 10,927.69 : x
  2. Step 2: Convert to fraction form
    6,981.19/10,927.69 = 10,927.69/x
  3. Step 3: Cross multiply
    6,981.19x = 10,927.69 × 10,927.69
  4. Step 4: Simplify right side
    6,981.19x = 119,414,354.10
  5. Step 5: Solve for x
    x = 119,414,354.10/6,981.19
  6. Step 6: Final answer
    x = 17,105.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.