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Finding the Third Proportional to 924.47 and 2,019.66

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Solution

The third proportional to 924.47 and 2,019.66 is: 4,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.47 : 2,019.66 = 2,019.66 : x
  2. Step 2: Convert to fraction form
    924.47/2,019.66 = 2,019.66/x
  3. Step 3: Cross multiply
    924.47x = 2,019.66 × 2,019.66
  4. Step 4: Simplify right side
    924.47x = 4,079,011.37
  5. Step 5: Solve for x
    x = 4,079,011.37/924.47
  6. Step 6: Final answer
    x = 4,412.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.