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Finding the Third Proportional to 10,869.19 and 22,512.94

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Solution

The third proportional to 10,869.19 and 22,512.94 is: 46,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.19 : 22,512.94 = 22,512.94 : x
  2. Step 2: Convert to fraction form
    10,869.19/22,512.94 = 22,512.94/x
  3. Step 3: Cross multiply
    10,869.19x = 22,512.94 × 22,512.94
  4. Step 4: Simplify right side
    10,869.19x = 506,832,354.88
  5. Step 5: Solve for x
    x = 506,832,354.88/10,869.19
  6. Step 6: Final answer
    x = 46,630.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.