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Finding the Third Proportional to 10,827 and 22,663.13

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Solution

The third proportional to 10,827 and 22,663.13 is: 47,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 22,663.13 = 22,663.13 : x
  2. Step 2: Convert to fraction form
    10,827/22,663.13 = 22,663.13/x
  3. Step 3: Cross multiply
    10,827x = 22,663.13 × 22,663.13
  4. Step 4: Simplify right side
    10,827x = 513,617,234.77
  5. Step 5: Solve for x
    x = 513,617,234.77/10,827
  6. Step 6: Final answer
    x = 47,438.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.