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Finding the Third Proportional to 33,781.88 and 49,655.63

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Solution

The third proportional to 33,781.88 and 49,655.63 is: 72,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.88 : 49,655.63 = 49,655.63 : x
  2. Step 2: Convert to fraction form
    33,781.88/49,655.63 = 49,655.63/x
  3. Step 3: Cross multiply
    33,781.88x = 49,655.63 × 49,655.63
  4. Step 4: Simplify right side
    33,781.88x = 2,465,681,094.14
  5. Step 5: Solve for x
    x = 2,465,681,094.14/33,781.88
  6. Step 6: Final answer
    x = 72,988.28

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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.