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Finding the Third Proportional to 24,505 and 53,158

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Solution

The third proportional to 24,505 and 53,158 is: 115,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505 : 53,158 = 53,158 : x
  2. Step 2: Convert to fraction form
    24,505/53,158 = 53,158/x
  3. Step 3: Cross multiply
    24,505x = 53,158 × 53,158
  4. Step 4: Simplify right side
    24,505x = 2,825,772,964
  5. Step 5: Solve for x
    x = 2,825,772,964/24,505
  6. Step 6: Final answer
    x = 115,314.14

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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.