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Finding the Third Proportional to 7,948.41 and 17,457.05

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Solution

The third proportional to 7,948.41 and 17,457.05 is: 38,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.41 : 17,457.05 = 17,457.05 : x
  2. Step 2: Convert to fraction form
    7,948.41/17,457.05 = 17,457.05/x
  3. Step 3: Cross multiply
    7,948.41x = 17,457.05 × 17,457.05
  4. Step 4: Simplify right side
    7,948.41x = 304,748,485.60
  5. Step 5: Solve for x
    x = 304,748,485.60/7,948.41
  6. Step 6: Final answer
    x = 38,340.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.