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Finding the Third Proportional to 20,538 and 44,784

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Solution

The third proportional to 20,538 and 44,784 is: 97,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 44,784 = 44,784 : x
  2. Step 2: Convert to fraction form
    20,538/44,784 = 44,784/x
  3. Step 3: Cross multiply
    20,538x = 44,784 × 44,784
  4. Step 4: Simplify right side
    20,538x = 2,005,606,656
  5. Step 5: Solve for x
    x = 2,005,606,656/20,538
  6. Step 6: Final answer
    x = 97,653.45

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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.