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Finding the Third Proportional to 10,827 and 12,376.13

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Solution

The third proportional to 10,827 and 12,376.13 is: 14,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 12,376.13 = 12,376.13 : x
  2. Step 2: Convert to fraction form
    10,827/12,376.13 = 12,376.13/x
  3. Step 3: Cross multiply
    10,827x = 12,376.13 × 12,376.13
  4. Step 4: Simplify right side
    10,827x = 153,168,470.02
  5. Step 5: Solve for x
    x = 153,168,470.02/10,827
  6. Step 6: Final answer
    x = 14,146.90

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.