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Finding the Third Proportional to 33,468 and 49,275

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Solution

The third proportional to 33,468 and 49,275 is: 72,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468 : 49,275 = 49,275 : x
  2. Step 2: Convert to fraction form
    33,468/49,275 = 49,275/x
  3. Step 3: Cross multiply
    33,468x = 49,275 × 49,275
  4. Step 4: Simplify right side
    33,468x = 2,428,025,625
  5. Step 5: Solve for x
    x = 2,428,025,625/33,468
  6. Step 6: Final answer
    x = 72,547.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.