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Finding the Third Proportional to 5,887.69 and 9,070.31

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Solution

The third proportional to 5,887.69 and 9,070.31 is: 13,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.69 : 9,070.31 = 9,070.31 : x
  2. Step 2: Convert to fraction form
    5,887.69/9,070.31 = 9,070.31/x
  3. Step 3: Cross multiply
    5,887.69x = 9,070.31 × 9,070.31
  4. Step 4: Simplify right side
    5,887.69x = 82,270,568.85
  5. Step 5: Solve for x
    x = 82,270,568.85/5,887.69
  6. Step 6: Final answer
    x = 13,973.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.