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Finding the Third Proportional to 9,618.75 and 14,775.19

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Solution

The third proportional to 9,618.75 and 14,775.19 is: 22,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.75 : 14,775.19 = 14,775.19 : x
  2. Step 2: Convert to fraction form
    9,618.75/14,775.19 = 14,775.19/x
  3. Step 3: Cross multiply
    9,618.75x = 14,775.19 × 14,775.19
  4. Step 4: Simplify right side
    9,618.75x = 218,306,165.66
  5. Step 5: Solve for x
    x = 218,306,165.66/9,618.75
  6. Step 6: Final answer
    x = 22,695.90

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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.