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Finding the Third Proportional to 24,305 and 53,182

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Solution

The third proportional to 24,305 and 53,182 is: 116,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305 : 53,182 = 53,182 : x
  2. Step 2: Convert to fraction form
    24,305/53,182 = 53,182/x
  3. Step 3: Cross multiply
    24,305x = 53,182 × 53,182
  4. Step 4: Simplify right side
    24,305x = 2,828,325,124
  5. Step 5: Solve for x
    x = 2,828,325,124/24,305
  6. Step 6: Final answer
    x = 116,368.04

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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.