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Finding the Third Proportional to 1,764.47 and 2,646.94

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Solution

The third proportional to 1,764.47 and 2,646.94 is: 3,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.47 : 2,646.94 = 2,646.94 : x
  2. Step 2: Convert to fraction form
    1,764.47/2,646.94 = 2,646.94/x
  3. Step 3: Cross multiply
    1,764.47x = 2,646.94 × 2,646.94
  4. Step 4: Simplify right side
    1,764.47x = 7,006,278.13
  5. Step 5: Solve for x
    x = 7,006,278.13/1,764.47
  6. Step 6: Final answer
    x = 3,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.