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Finding the Third Proportional to 10,256 and 15,095.50

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Solution

The third proportional to 10,256 and 15,095.50 is: 22,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 15,095.50 = 15,095.50 : x
  2. Step 2: Convert to fraction form
    10,256/15,095.50 = 15,095.50/x
  3. Step 3: Cross multiply
    10,256x = 15,095.50 × 15,095.50
  4. Step 4: Simplify right side
    10,256x = 227,874,120.25
  5. Step 5: Solve for x
    x = 227,874,120.25/10,256
  6. Step 6: Final answer
    x = 22,218.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.