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Finding the Third Proportional to 35,326.13 and 74,282.06

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Solution

The third proportional to 35,326.13 and 74,282.06 is: 156,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,326.13 : 74,282.06 = 74,282.06 : x
  2. Step 2: Convert to fraction form
    35,326.13/74,282.06 = 74,282.06/x
  3. Step 3: Cross multiply
    35,326.13x = 74,282.06 × 74,282.06
  4. Step 4: Simplify right side
    35,326.13x = 5,517,824,809.25
  5. Step 5: Solve for x
    x = 5,517,824,809.25/35,326.13
  6. Step 6: Final answer
    x = 156,196.72

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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.