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Finding the Third Proportional to 10,427.25 and 15,730.88

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Solution

The third proportional to 10,427.25 and 15,730.88 is: 23,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.25 : 15,730.88 = 15,730.88 : x
  2. Step 2: Convert to fraction form
    10,427.25/15,730.88 = 15,730.88/x
  3. Step 3: Cross multiply
    10,427.25x = 15,730.88 × 15,730.88
  4. Step 4: Simplify right side
    10,427.25x = 247,460,428.27
  5. Step 5: Solve for x
    x = 247,460,428.27/10,427.25
  6. Step 6: Final answer
    x = 23,732.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.