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Finding the Third Proportional to 24,862 and 53,270

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Solution

The third proportional to 24,862 and 53,270 is: 114,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862 : 53,270 = 53,270 : x
  2. Step 2: Convert to fraction form
    24,862/53,270 = 53,270/x
  3. Step 3: Cross multiply
    24,862x = 53,270 × 53,270
  4. Step 4: Simplify right side
    24,862x = 2,837,692,900
  5. Step 5: Solve for x
    x = 2,837,692,900/24,862
  6. Step 6: Final answer
    x = 114,137.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.