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Finding the Third Proportional to 20,854 and 45,066

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Solution

The third proportional to 20,854 and 45,066 is: 97,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854 : 45,066 = 45,066 : x
  2. Step 2: Convert to fraction form
    20,854/45,066 = 45,066/x
  3. Step 3: Cross multiply
    20,854x = 45,066 × 45,066
  4. Step 4: Simplify right side
    20,854x = 2,030,944,356
  5. Step 5: Solve for x
    x = 2,030,944,356/20,854
  6. Step 6: Final answer
    x = 97,388.72

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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.