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Finding the Third Proportional to 7,470 and 17,851.50

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Solution

The third proportional to 7,470 and 17,851.50 is: 42,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 17,851.50 = 17,851.50 : x
  2. Step 2: Convert to fraction form
    7,470/17,851.50 = 17,851.50/x
  3. Step 3: Cross multiply
    7,470x = 17,851.50 × 17,851.50
  4. Step 4: Simplify right side
    7,470x = 318,676,052.25
  5. Step 5: Solve for x
    x = 318,676,052.25/7,470
  6. Step 6: Final answer
    x = 42,660.78

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.