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Finding the Third Proportional to 10,310.63 and 22,259.81

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Solution

The third proportional to 10,310.63 and 22,259.81 is: 48,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.63 : 22,259.81 = 22,259.81 : x
  2. Step 2: Convert to fraction form
    10,310.63/22,259.81 = 22,259.81/x
  3. Step 3: Cross multiply
    10,310.63x = 22,259.81 × 22,259.81
  4. Step 4: Simplify right side
    10,310.63x = 495,499,252.54
  5. Step 5: Solve for x
    x = 495,499,252.54/10,310.63
  6. Step 6: Final answer
    x = 48,057.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.