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Finding the Third Proportional to 2,322.84 and 4,101.05

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Solution

The third proportional to 2,322.84 and 4,101.05 is: 7,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.84 : 4,101.05 = 4,101.05 : x
  2. Step 2: Convert to fraction form
    2,322.84/4,101.05 = 4,101.05/x
  3. Step 3: Cross multiply
    2,322.84x = 4,101.05 × 4,101.05
  4. Step 4: Simplify right side
    2,322.84x = 16,818,585.47
  5. Step 5: Solve for x
    x = 16,818,585.47/2,322.84
  6. Step 6: Final answer
    x = 7,240.52

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.