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Finding the Third Proportional to 4,838.91 and 7,397.16

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Solution

The third proportional to 4,838.91 and 7,397.16 is: 11,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.91 : 7,397.16 = 7,397.16 : x
  2. Step 2: Convert to fraction form
    4,838.91/7,397.16 = 7,397.16/x
  3. Step 3: Cross multiply
    4,838.91x = 7,397.16 × 7,397.16
  4. Step 4: Simplify right side
    4,838.91x = 54,717,920.59
  5. Step 5: Solve for x
    x = 54,717,920.59/4,838.91
  6. Step 6: Final answer
    x = 11,307.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.