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Finding the Third Proportional to 4,769.68 and 7,011.61

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Solution

The third proportional to 4,769.68 and 7,011.61 is: 10,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.68 : 7,011.61 = 7,011.61 : x
  2. Step 2: Convert to fraction form
    4,769.68/7,011.61 = 7,011.61/x
  3. Step 3: Cross multiply
    4,769.68x = 7,011.61 × 7,011.61
  4. Step 4: Simplify right side
    4,769.68x = 49,162,701.98
  5. Step 5: Solve for x
    x = 49,162,701.98/4,769.68
  6. Step 6: Final answer
    x = 10,307.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.