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Finding the Third Proportional to 9,159.75 and 10,139.25

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Solution

The third proportional to 9,159.75 and 10,139.25 is: 11,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.75 : 10,139.25 = 10,139.25 : x
  2. Step 2: Convert to fraction form
    9,159.75/10,139.25 = 10,139.25/x
  3. Step 3: Cross multiply
    9,159.75x = 10,139.25 × 10,139.25
  4. Step 4: Simplify right side
    9,159.75x = 102,804,390.56
  5. Step 5: Solve for x
    x = 102,804,390.56/9,159.75
  6. Step 6: Final answer
    x = 11,223.49

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.