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Finding the Third Proportional to 9,594.28 and 14,801.48

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Solution

The third proportional to 9,594.28 and 14,801.48 is: 22,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.28 : 14,801.48 = 14,801.48 : x
  2. Step 2: Convert to fraction form
    9,594.28/14,801.48 = 14,801.48/x
  3. Step 3: Cross multiply
    9,594.28x = 14,801.48 × 14,801.48
  4. Step 4: Simplify right side
    9,594.28x = 219,083,939.70
  5. Step 5: Solve for x
    x = 219,083,939.70/9,594.28
  6. Step 6: Final answer
    x = 22,834.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.