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Finding the Third Proportional to 9,932.63 and 15,904.69

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Solution

The third proportional to 9,932.63 and 15,904.69 is: 25,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.63 : 15,904.69 = 15,904.69 : x
  2. Step 2: Convert to fraction form
    9,932.63/15,904.69 = 15,904.69/x
  3. Step 3: Cross multiply
    9,932.63x = 15,904.69 × 15,904.69
  4. Step 4: Simplify right side
    9,932.63x = 252,959,084.47
  5. Step 5: Solve for x
    x = 252,959,084.47/9,932.63
  6. Step 6: Final answer
    x = 25,467.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.