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Finding the Third Proportional to 1,513.37 and 3,265.95

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Solution

The third proportional to 1,513.37 and 3,265.95 is: 7,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.37 : 3,265.95 = 3,265.95 : x
  2. Step 2: Convert to fraction form
    1,513.37/3,265.95 = 3,265.95/x
  3. Step 3: Cross multiply
    1,513.37x = 3,265.95 × 3,265.95
  4. Step 4: Simplify right side
    1,513.37x = 10,666,398.78
  5. Step 5: Solve for x
    x = 10,666,398.78/1,513.37
  6. Step 6: Final answer
    x = 7,048.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.