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Finding the Third Proportional to 20,578 and 44,854

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Solution

The third proportional to 20,578 and 44,854 is: 97,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578 : 44,854 = 44,854 : x
  2. Step 2: Convert to fraction form
    20,578/44,854 = 44,854/x
  3. Step 3: Cross multiply
    20,578x = 44,854 × 44,854
  4. Step 4: Simplify right side
    20,578x = 2,011,881,316
  5. Step 5: Solve for x
    x = 2,011,881,316/20,578
  6. Step 6: Final answer
    x = 97,768.55

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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.