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Finding the Third Proportional to 24,618 and 53,692

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Solution

The third proportional to 24,618 and 53,692 is: 117,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618 : 53,692 = 53,692 : x
  2. Step 2: Convert to fraction form
    24,618/53,692 = 53,692/x
  3. Step 3: Cross multiply
    24,618x = 53,692 × 53,692
  4. Step 4: Simplify right side
    24,618x = 2,882,830,864
  5. Step 5: Solve for x
    x = 2,882,830,864/24,618
  6. Step 6: Final answer
    x = 117,102.56

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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.