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Finding the Third Proportional to 10,616.06 and 22,114.90

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Solution

The third proportional to 10,616.06 and 22,114.90 is: 46,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.06 : 22,114.90 = 22,114.90 : x
  2. Step 2: Convert to fraction form
    10,616.06/22,114.90 = 22,114.90/x
  3. Step 3: Cross multiply
    10,616.06x = 22,114.90 × 22,114.90
  4. Step 4: Simplify right side
    10,616.06x = 489,068,732.90
  5. Step 5: Solve for x
    x = 489,068,732.90/10,616.06
  6. Step 6: Final answer
    x = 46,068.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.