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Finding the Third Proportional to 12,541.08 and 16,641.70

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Solution

The third proportional to 12,541.08 and 16,641.70 is: 22,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.08 : 16,641.70 = 16,641.70 : x
  2. Step 2: Convert to fraction form
    12,541.08/16,641.70 = 16,641.70/x
  3. Step 3: Cross multiply
    12,541.08x = 16,641.70 × 16,641.70
  4. Step 4: Simplify right side
    12,541.08x = 276,946,282.90
  5. Step 5: Solve for x
    x = 276,946,282.90/12,541.08
  6. Step 6: Final answer
    x = 22,083.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.