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Finding the Third Proportional to 9,742.78 and 13,932.84

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Solution

The third proportional to 9,742.78 and 13,932.84 is: 19,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.78 : 13,932.84 = 13,932.84 : x
  2. Step 2: Convert to fraction form
    9,742.78/13,932.84 = 13,932.84/x
  3. Step 3: Cross multiply
    9,742.78x = 13,932.84 × 13,932.84
  4. Step 4: Simplify right side
    9,742.78x = 194,124,134.96
  5. Step 5: Solve for x
    x = 194,124,134.96/9,742.78
  6. Step 6: Final answer
    x = 19,924.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.