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Finding the Third Proportional to 5,256.14 and 11,293.17

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Solution

The third proportional to 5,256.14 and 11,293.17 is: 24,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.14 : 11,293.17 = 11,293.17 : x
  2. Step 2: Convert to fraction form
    5,256.14/11,293.17 = 11,293.17/x
  3. Step 3: Cross multiply
    5,256.14x = 11,293.17 × 11,293.17
  4. Step 4: Simplify right side
    5,256.14x = 127,535,731.00
  5. Step 5: Solve for x
    x = 127,535,731.00/5,256.14
  6. Step 6: Final answer
    x = 24,264.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.