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Finding the Third Proportional to 11,673.94 and 24,988.13

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Solution

The third proportional to 11,673.94 and 24,988.13 is: 53,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.94 : 24,988.13 = 24,988.13 : x
  2. Step 2: Convert to fraction form
    11,673.94/24,988.13 = 24,988.13/x
  3. Step 3: Cross multiply
    11,673.94x = 24,988.13 × 24,988.13
  4. Step 4: Simplify right side
    11,673.94x = 624,406,391.02
  5. Step 5: Solve for x
    x = 624,406,391.02/11,673.94
  6. Step 6: Final answer
    x = 53,487.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.