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Finding the Third Proportional to 11,109.66 and 24,294.94

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Solution

The third proportional to 11,109.66 and 24,294.94 is: 53,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.66 : 24,294.94 = 24,294.94 : x
  2. Step 2: Convert to fraction form
    11,109.66/24,294.94 = 24,294.94/x
  3. Step 3: Cross multiply
    11,109.66x = 24,294.94 × 24,294.94
  4. Step 4: Simplify right side
    11,109.66x = 590,243,988.13
  5. Step 5: Solve for x
    x = 590,243,988.13/11,109.66
  6. Step 6: Final answer
    x = 53,128.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.