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Finding the Third Proportional to 18,220 and 29,066

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Solution

The third proportional to 18,220 and 29,066 is: 46,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,220 : 29,066 = 29,066 : x
  2. Step 2: Convert to fraction form
    18,220/29,066 = 29,066/x
  3. Step 3: Cross multiply
    18,220x = 29,066 × 29,066
  4. Step 4: Simplify right side
    18,220x = 844,832,356
  5. Step 5: Solve for x
    x = 844,832,356/18,220
  6. Step 6: Final answer
    x = 46,368.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.