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Finding the Third Proportional to 33,547.88 and 51,881.06

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Solution

The third proportional to 33,547.88 and 51,881.06 is: 80,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.88 : 51,881.06 = 51,881.06 : x
  2. Step 2: Convert to fraction form
    33,547.88/51,881.06 = 51,881.06/x
  3. Step 3: Cross multiply
    33,547.88x = 51,881.06 × 51,881.06
  4. Step 4: Simplify right side
    33,547.88x = 2,691,644,646.13
  5. Step 5: Solve for x
    x = 2,691,644,646.13/33,547.88
  6. Step 6: Final answer
    x = 80,232.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.