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Finding the Third Proportional to 11,470.50 and 24,811.50

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Solution

The third proportional to 11,470.50 and 24,811.50 is: 53,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.50 : 24,811.50 = 24,811.50 : x
  2. Step 2: Convert to fraction form
    11,470.50/24,811.50 = 24,811.50/x
  3. Step 3: Cross multiply
    11,470.50x = 24,811.50 × 24,811.50
  4. Step 4: Simplify right side
    11,470.50x = 615,610,532.25
  5. Step 5: Solve for x
    x = 615,610,532.25/11,470.50
  6. Step 6: Final answer
    x = 53,669.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.