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Finding the Third Proportional to 4,032.76 and 8,844.58

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Solution

The third proportional to 4,032.76 and 8,844.58 is: 19,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.76 : 8,844.58 = 8,844.58 : x
  2. Step 2: Convert to fraction form
    4,032.76/8,844.58 = 8,844.58/x
  3. Step 3: Cross multiply
    4,032.76x = 8,844.58 × 8,844.58
  4. Step 4: Simplify right side
    4,032.76x = 78,226,648.58
  5. Step 5: Solve for x
    x = 78,226,648.58/4,032.76
  6. Step 6: Final answer
    x = 19,397.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.