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Finding the Third Proportional to 16,098.75 and 34,718.63

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Solution

The third proportional to 16,098.75 and 34,718.63 is: 74,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.75 : 34,718.63 = 34,718.63 : x
  2. Step 2: Convert to fraction form
    16,098.75/34,718.63 = 34,718.63/x
  3. Step 3: Cross multiply
    16,098.75x = 34,718.63 × 34,718.63
  4. Step 4: Simplify right side
    16,098.75x = 1,205,382,921.89
  5. Step 5: Solve for x
    x = 1,205,382,921.89/16,098.75
  6. Step 6: Final answer
    x = 74,874.32

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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.