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Finding the Third Proportional to 40,570.50 and 88,522

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Solution

The third proportional to 40,570.50 and 88,522 is: 193,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,570.50 : 88,522 = 88,522 : x
  2. Step 2: Convert to fraction form
    40,570.50/88,522 = 88,522/x
  3. Step 3: Cross multiply
    40,570.50x = 88,522 × 88,522
  4. Step 4: Simplify right side
    40,570.50x = 7,836,144,484
  5. Step 5: Solve for x
    x = 7,836,144,484/40,570.50
  6. Step 6: Final answer
    x = 193,148.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.