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Finding the Third Proportional to 7,948.41 and 12,315.09

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Solution

The third proportional to 7,948.41 and 12,315.09 is: 19,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.41 : 12,315.09 = 12,315.09 : x
  2. Step 2: Convert to fraction form
    7,948.41/12,315.09 = 12,315.09/x
  3. Step 3: Cross multiply
    7,948.41x = 12,315.09 × 12,315.09
  4. Step 4: Simplify right side
    7,948.41x = 151,661,534.07
  5. Step 5: Solve for x
    x = 151,661,534.07/7,948.41
  6. Step 6: Final answer
    x = 19,080.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.