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Finding the Third Proportional to 22,996.50 and 49,275

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Solution

The third proportional to 22,996.50 and 49,275 is: 105,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.50 : 49,275 = 49,275 : x
  2. Step 2: Convert to fraction form
    22,996.50/49,275 = 49,275/x
  3. Step 3: Cross multiply
    22,996.50x = 49,275 × 49,275
  4. Step 4: Simplify right side
    22,996.50x = 2,428,025,625
  5. Step 5: Solve for x
    x = 2,428,025,625/22,996.50
  6. Step 6: Final answer
    x = 105,582.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.