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Finding the Third Proportional to 1,762.70 and 1,937.36

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Solution

The third proportional to 1,762.70 and 1,937.36 is: 2,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.70 : 1,937.36 = 1,937.36 : x
  2. Step 2: Convert to fraction form
    1,762.70/1,937.36 = 1,937.36/x
  3. Step 3: Cross multiply
    1,762.70x = 1,937.36 × 1,937.36
  4. Step 4: Simplify right side
    1,762.70x = 3,753,346.21
  5. Step 5: Solve for x
    x = 3,753,346.21/1,762.70
  6. Step 6: Final answer
    x = 2,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.