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Finding the Third Proportional to 6,117.40 and 13,358.36

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Solution

The third proportional to 6,117.40 and 13,358.36 is: 29,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.40 : 13,358.36 = 13,358.36 : x
  2. Step 2: Convert to fraction form
    6,117.40/13,358.36 = 13,358.36/x
  3. Step 3: Cross multiply
    6,117.40x = 13,358.36 × 13,358.36
  4. Step 4: Simplify right side
    6,117.40x = 178,445,660.83
  5. Step 5: Solve for x
    x = 178,445,660.83/6,117.40
  6. Step 6: Final answer
    x = 29,170.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.