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Finding the Third Proportional to 33,655.50 and 70,796.53

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Solution

The third proportional to 33,655.50 and 70,796.53 is: 148,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655.50 : 70,796.53 = 70,796.53 : x
  2. Step 2: Convert to fraction form
    33,655.50/70,796.53 = 70,796.53/x
  3. Step 3: Cross multiply
    33,655.50x = 70,796.53 × 70,796.53
  4. Step 4: Simplify right side
    33,655.50x = 5,012,148,837.03
  5. Step 5: Solve for x
    x = 5,012,148,837.03/33,655.50
  6. Step 6: Final answer
    x = 148,925.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.