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Finding the Third Proportional to 24,405 and 53,103

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Solution

The third proportional to 24,405 and 53,103 is: 115,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405 : 53,103 = 53,103 : x
  2. Step 2: Convert to fraction form
    24,405/53,103 = 53,103/x
  3. Step 3: Cross multiply
    24,405x = 53,103 × 53,103
  4. Step 4: Simplify right side
    24,405x = 2,819,928,609
  5. Step 5: Solve for x
    x = 2,819,928,609/24,405
  6. Step 6: Final answer
    x = 115,547.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.