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Finding the Third Proportional to 48,414.38 and 71,030.25

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Solution

The third proportional to 48,414.38 and 71,030.25 is: 104,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414.38 : 71,030.25 = 71,030.25 : x
  2. Step 2: Convert to fraction form
    48,414.38/71,030.25 = 71,030.25/x
  3. Step 3: Cross multiply
    48,414.38x = 71,030.25 × 71,030.25
  4. Step 4: Simplify right side
    48,414.38x = 5,045,296,415.06
  5. Step 5: Solve for x
    x = 5,045,296,415.06/48,414.38
  6. Step 6: Final answer
    x = 104,210.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.