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Finding the Third Proportional to 24,506 and 53,161

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Solution

The third proportional to 24,506 and 53,161 is: 115,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506 : 53,161 = 53,161 : x
  2. Step 2: Convert to fraction form
    24,506/53,161 = 53,161/x
  3. Step 3: Cross multiply
    24,506x = 53,161 × 53,161
  4. Step 4: Simplify right side
    24,506x = 2,826,091,921
  5. Step 5: Solve for x
    x = 2,826,091,921/24,506
  6. Step 6: Final answer
    x = 115,322.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.