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Finding the Third Proportional to 9,428.59 and 19,631.74

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Solution

The third proportional to 9,428.59 and 19,631.74 is: 40,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.59 : 19,631.74 = 19,631.74 : x
  2. Step 2: Convert to fraction form
    9,428.59/19,631.74 = 19,631.74/x
  3. Step 3: Cross multiply
    9,428.59x = 19,631.74 × 19,631.74
  4. Step 4: Simplify right side
    9,428.59x = 385,405,301.32
  5. Step 5: Solve for x
    x = 385,405,301.32/9,428.59
  6. Step 6: Final answer
    x = 40,876.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.