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Finding the Third Proportional to 28,728 and 42,066

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Solution

The third proportional to 28,728 and 42,066 is: 61,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,728 : 42,066 = 42,066 : x
  2. Step 2: Convert to fraction form
    28,728/42,066 = 42,066/x
  3. Step 3: Cross multiply
    28,728x = 42,066 × 42,066
  4. Step 4: Simplify right side
    28,728x = 1,769,548,356
  5. Step 5: Solve for x
    x = 1,769,548,356/28,728
  6. Step 6: Final answer
    x = 61,596.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.