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Finding the Third Proportional to 753.44 and 1,615.10

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Solution

The third proportional to 753.44 and 1,615.10 is: 3,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.44 : 1,615.10 = 1,615.10 : x
  2. Step 2: Convert to fraction form
    753.44/1,615.10 = 1,615.10/x
  3. Step 3: Cross multiply
    753.44x = 1,615.10 × 1,615.10
  4. Step 4: Simplify right side
    753.44x = 2,608,534.13
  5. Step 5: Solve for x
    x = 2,608,534.13/753.44
  6. Step 6: Final answer
    x = 3,462.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.