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Finding the Third Proportional to 4,330.97 and 9,135.28

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Solution

The third proportional to 4,330.97 and 9,135.28 is: 19,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.97 : 9,135.28 = 9,135.28 : x
  2. Step 2: Convert to fraction form
    4,330.97/9,135.28 = 9,135.28/x
  3. Step 3: Cross multiply
    4,330.97x = 9,135.28 × 9,135.28
  4. Step 4: Simplify right side
    4,330.97x = 83,453,363.52
  5. Step 5: Solve for x
    x = 83,453,363.52/4,330.97
  6. Step 6: Final answer
    x = 19,268.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.