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Finding the Third Proportional to 7,866.56 and 15,333.47

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Solution

The third proportional to 7,866.56 and 15,333.47 is: 29,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.56 : 15,333.47 = 15,333.47 : x
  2. Step 2: Convert to fraction form
    7,866.56/15,333.47 = 15,333.47/x
  3. Step 3: Cross multiply
    7,866.56x = 15,333.47 × 15,333.47
  4. Step 4: Simplify right side
    7,866.56x = 235,115,263.91
  5. Step 5: Solve for x
    x = 235,115,263.91/7,866.56
  6. Step 6: Final answer
    x = 29,887.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.