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Finding the Third Proportional to 20,949 and 45,178

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Solution

The third proportional to 20,949 and 45,178 is: 97,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949 : 45,178 = 45,178 : x
  2. Step 2: Convert to fraction form
    20,949/45,178 = 45,178/x
  3. Step 3: Cross multiply
    20,949x = 45,178 × 45,178
  4. Step 4: Simplify right side
    20,949x = 2,041,051,684
  5. Step 5: Solve for x
    x = 2,041,051,684/20,949
  6. Step 6: Final answer
    x = 97,429.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.