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Finding the Third Proportional to 23,680.13 and 34,210.69

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Solution

The third proportional to 23,680.13 and 34,210.69 is: 49,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.13 : 34,210.69 = 34,210.69 : x
  2. Step 2: Convert to fraction form
    23,680.13/34,210.69 = 34,210.69/x
  3. Step 3: Cross multiply
    23,680.13x = 34,210.69 × 34,210.69
  4. Step 4: Simplify right side
    23,680.13x = 1,170,371,139.22
  5. Step 5: Solve for x
    x = 1,170,371,139.22/23,680.13
  6. Step 6: Final answer
    x = 49,424.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.