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Finding the Third Proportional to 14,777.16 and 22,112.16

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Solution

The third proportional to 14,777.16 and 22,112.16 is: 33,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.16 : 22,112.16 = 22,112.16 : x
  2. Step 2: Convert to fraction form
    14,777.16/22,112.16 = 22,112.16/x
  3. Step 3: Cross multiply
    14,777.16x = 22,112.16 × 22,112.16
  4. Step 4: Simplify right side
    14,777.16x = 488,947,454.02
  5. Step 5: Solve for x
    x = 488,947,454.02/14,777.16
  6. Step 6: Final answer
    x = 33,088.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.