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Finding the Third Proportional to 1,762.70 and 2,561.47

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Solution

The third proportional to 1,762.70 and 2,561.47 is: 3,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.70 : 2,561.47 = 2,561.47 : x
  2. Step 2: Convert to fraction form
    1,762.70/2,561.47 = 2,561.47/x
  3. Step 3: Cross multiply
    1,762.70x = 2,561.47 × 2,561.47
  4. Step 4: Simplify right side
    1,762.70x = 6,561,112.15
  5. Step 5: Solve for x
    x = 6,561,112.15/1,762.70
  6. Step 6: Final answer
    x = 3,722.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.