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Finding the Third Proportional to 6,148.41 and 13,478.91

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Solution

The third proportional to 6,148.41 and 13,478.91 is: 29,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.41 : 13,478.91 = 13,478.91 : x
  2. Step 2: Convert to fraction form
    6,148.41/13,478.91 = 13,478.91/x
  3. Step 3: Cross multiply
    6,148.41x = 13,478.91 × 13,478.91
  4. Step 4: Simplify right side
    6,148.41x = 181,680,913.70
  5. Step 5: Solve for x
    x = 181,680,913.70/6,148.41
  6. Step 6: Final answer
    x = 29,549.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.