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Finding the Third Proportional to 28,066 and 42,910

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Solution

The third proportional to 28,066 and 42,910 is: 65,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,066 : 42,910 = 42,910 : x
  2. Step 2: Convert to fraction form
    28,066/42,910 = 42,910/x
  3. Step 3: Cross multiply
    28,066x = 42,910 × 42,910
  4. Step 4: Simplify right side
    28,066x = 1,841,268,100
  5. Step 5: Solve for x
    x = 1,841,268,100/28,066
  6. Step 6: Final answer
    x = 65,604.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.