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Finding the Third Proportional to 11,105.81 and 24,547.13

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Solution

The third proportional to 11,105.81 and 24,547.13 is: 54,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.81 : 24,547.13 = 24,547.13 : x
  2. Step 2: Convert to fraction form
    11,105.81/24,547.13 = 24,547.13/x
  3. Step 3: Cross multiply
    11,105.81x = 24,547.13 × 24,547.13
  4. Step 4: Simplify right side
    11,105.81x = 602,561,345.77
  5. Step 5: Solve for x
    x = 602,561,345.77/11,105.81
  6. Step 6: Final answer
    x = 54,256.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.