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Finding the Third Proportional to 1,501.88 and 3,265.31

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Solution

The third proportional to 1,501.88 and 3,265.31 is: 7,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.88 : 3,265.31 = 3,265.31 : x
  2. Step 2: Convert to fraction form
    1,501.88/3,265.31 = 3,265.31/x
  3. Step 3: Cross multiply
    1,501.88x = 3,265.31 × 3,265.31
  4. Step 4: Simplify right side
    1,501.88x = 10,662,265.72
  5. Step 5: Solve for x
    x = 10,662,265.72/1,501.88
  6. Step 6: Final answer
    x = 7,099.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.