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Finding the Third Proportional to 4,507.52 and 9,865.55

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Solution

The third proportional to 4,507.52 and 9,865.55 is: 21,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.52 : 9,865.55 = 9,865.55 : x
  2. Step 2: Convert to fraction form
    4,507.52/9,865.55 = 9,865.55/x
  3. Step 3: Cross multiply
    4,507.52x = 9,865.55 × 9,865.55
  4. Step 4: Simplify right side
    4,507.52x = 97,329,015.14
  5. Step 5: Solve for x
    x = 97,329,015.14/4,507.52
  6. Step 6: Final answer
    x = 21,592.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.