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Finding the Third Proportional to 33,456.16 and 49,259.71

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Solution

The third proportional to 33,456.16 and 49,259.71 is: 72,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456.16 : 49,259.71 = 49,259.71 : x
  2. Step 2: Convert to fraction form
    33,456.16/49,259.71 = 49,259.71/x
  3. Step 3: Cross multiply
    33,456.16x = 49,259.71 × 49,259.71
  4. Step 4: Simplify right side
    33,456.16x = 2,426,518,736.80
  5. Step 5: Solve for x
    x = 2,426,518,736.80/33,456.16
  6. Step 6: Final answer
    x = 72,528.30

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