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Finding the Third Proportional to 7,100.16 and 10,511.65

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Solution

The third proportional to 7,100.16 and 10,511.65 is: 15,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.16 : 10,511.65 = 10,511.65 : x
  2. Step 2: Convert to fraction form
    7,100.16/10,511.65 = 10,511.65/x
  3. Step 3: Cross multiply
    7,100.16x = 10,511.65 × 10,511.65
  4. Step 4: Simplify right side
    7,100.16x = 110,494,752.87
  5. Step 5: Solve for x
    x = 110,494,752.87/7,100.16
  6. Step 6: Final answer
    x = 15,562.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.