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Finding the Third Proportional to 1,926.16 and 2,752.41

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Solution

The third proportional to 1,926.16 and 2,752.41 is: 3,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.16 : 2,752.41 = 2,752.41 : x
  2. Step 2: Convert to fraction form
    1,926.16/2,752.41 = 2,752.41/x
  3. Step 3: Cross multiply
    1,926.16x = 2,752.41 × 2,752.41
  4. Step 4: Simplify right side
    1,926.16x = 7,575,740.17
  5. Step 5: Solve for x
    x = 7,575,740.17/1,926.16
  6. Step 6: Final answer
    x = 3,933.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.