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Finding the Third Proportional to 10,228.78 and 14,488.88

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Solution

The third proportional to 10,228.78 and 14,488.88 is: 20,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 14,488.88 = 14,488.88 : x
  2. Step 2: Convert to fraction form
    10,228.78/14,488.88 = 14,488.88/x
  3. Step 3: Cross multiply
    10,228.78x = 14,488.88 × 14,488.88
  4. Step 4: Simplify right side
    10,228.78x = 209,927,498.77
  5. Step 5: Solve for x
    x = 209,927,498.77/10,228.78
  6. Step 6: Final answer
    x = 20,523.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.