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Finding the Third Proportional to 11,641.50 and 16,068.94

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Solution

The third proportional to 11,641.50 and 16,068.94 is: 22,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.50 : 16,068.94 = 16,068.94 : x
  2. Step 2: Convert to fraction form
    11,641.50/16,068.94 = 16,068.94/x
  3. Step 3: Cross multiply
    11,641.50x = 16,068.94 × 16,068.94
  4. Step 4: Simplify right side
    11,641.50x = 258,210,752.38
  5. Step 5: Solve for x
    x = 258,210,752.38/11,641.50
  6. Step 6: Final answer
    x = 22,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.