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Finding the Third Proportional to 12,227.63 and 22,875.75

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Solution

The third proportional to 12,227.63 and 22,875.75 is: 42,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.63 : 22,875.75 = 22,875.75 : x
  2. Step 2: Convert to fraction form
    12,227.63/22,875.75 = 22,875.75/x
  3. Step 3: Cross multiply
    12,227.63x = 22,875.75 × 22,875.75
  4. Step 4: Simplify right side
    12,227.63x = 523,299,938.06
  5. Step 5: Solve for x
    x = 523,299,938.06/12,227.63
  6. Step 6: Final answer
    x = 42,796.53

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.