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Finding the Third Proportional to 10,969.17 and 23,176.13

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Solution

The third proportional to 10,969.17 and 23,176.13 is: 48,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.17 : 23,176.13 = 23,176.13 : x
  2. Step 2: Convert to fraction form
    10,969.17/23,176.13 = 23,176.13/x
  3. Step 3: Cross multiply
    10,969.17x = 23,176.13 × 23,176.13
  4. Step 4: Simplify right side
    10,969.17x = 537,132,770.02
  5. Step 5: Solve for x
    x = 537,132,770.02/10,969.17
  6. Step 6: Final answer
    x = 48,967.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.