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Finding the Third Proportional to 6,148.41 and 13,337.16

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Solution

The third proportional to 6,148.41 and 13,337.16 is: 28,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.41 : 13,337.16 = 13,337.16 : x
  2. Step 2: Convert to fraction form
    6,148.41/13,337.16 = 13,337.16/x
  3. Step 3: Cross multiply
    6,148.41x = 13,337.16 × 13,337.16
  4. Step 4: Simplify right side
    6,148.41x = 177,879,736.84
  5. Step 5: Solve for x
    x = 177,879,736.84/6,148.41
  6. Step 6: Final answer
    x = 28,931.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.