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Finding the Third Proportional to 21,470.06 and 32,440.50

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Solution

The third proportional to 21,470.06 and 32,440.50 is: 49,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.06 : 32,440.50 = 32,440.50 : x
  2. Step 2: Convert to fraction form
    21,470.06/32,440.50 = 32,440.50/x
  3. Step 3: Cross multiply
    21,470.06x = 32,440.50 × 32,440.50
  4. Step 4: Simplify right side
    21,470.06x = 1,052,386,040.25
  5. Step 5: Solve for x
    x = 1,052,386,040.25/21,470.06
  6. Step 6: Final answer
    x = 49,016.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.