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Finding the Third Proportional to 1,760.34 and 2,461.22

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Solution

The third proportional to 1,760.34 and 2,461.22 is: 3,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.34 : 2,461.22 = 2,461.22 : x
  2. Step 2: Convert to fraction form
    1,760.34/2,461.22 = 2,461.22/x
  3. Step 3: Cross multiply
    1,760.34x = 2,461.22 × 2,461.22
  4. Step 4: Simplify right side
    1,760.34x = 6,057,597.74
  5. Step 5: Solve for x
    x = 6,057,597.74/1,760.34
  6. Step 6: Final answer
    x = 3,441.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.