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Finding the Third Proportional to 23,009.06 and 38,287.69

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Solution

The third proportional to 23,009.06 and 38,287.69 is: 63,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.06 : 38,287.69 = 38,287.69 : x
  2. Step 2: Convert to fraction form
    23,009.06/38,287.69 = 38,287.69/x
  3. Step 3: Cross multiply
    23,009.06x = 38,287.69 × 38,287.69
  4. Step 4: Simplify right side
    23,009.06x = 1,465,947,014.10
  5. Step 5: Solve for x
    x = 1,465,947,014.10/23,009.06
  6. Step 6: Final answer
    x = 63,711.72

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.