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Finding the Third Proportional to 9,773.63 and 15,736.69

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Solution

The third proportional to 9,773.63 and 15,736.69 is: 25,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.63 : 15,736.69 = 15,736.69 : x
  2. Step 2: Convert to fraction form
    9,773.63/15,736.69 = 15,736.69/x
  3. Step 3: Cross multiply
    9,773.63x = 15,736.69 × 15,736.69
  4. Step 4: Simplify right side
    9,773.63x = 247,643,333.47
  5. Step 5: Solve for x
    x = 247,643,333.47/9,773.63
  6. Step 6: Final answer
    x = 25,337.92

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.