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Finding the Third Proportional to 9,735.19 and 14,932.69

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Solution

The third proportional to 9,735.19 and 14,932.69 is: 22,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.19 : 14,932.69 = 14,932.69 : x
  2. Step 2: Convert to fraction form
    9,735.19/14,932.69 = 14,932.69/x
  3. Step 3: Cross multiply
    9,735.19x = 14,932.69 × 14,932.69
  4. Step 4: Simplify right side
    9,735.19x = 222,985,155.97
  5. Step 5: Solve for x
    x = 222,985,155.97/9,735.19
  6. Step 6: Final answer
    x = 22,905.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.