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Finding the Third Proportional to 35,988.75 and 74,282.63

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Solution

The third proportional to 35,988.75 and 74,282.63 is: 153,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988.75 : 74,282.63 = 74,282.63 : x
  2. Step 2: Convert to fraction form
    35,988.75/74,282.63 = 74,282.63/x
  3. Step 3: Cross multiply
    35,988.75x = 74,282.63 × 74,282.63
  4. Step 4: Simplify right side
    35,988.75x = 5,517,908,376.89
  5. Step 5: Solve for x
    x = 5,517,908,376.89/35,988.75
  6. Step 6: Final answer
    x = 153,323.15

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.