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Finding the Third Proportional to 28,734 and 42,927

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Solution

The third proportional to 28,734 and 42,927 is: 64,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734 : 42,927 = 42,927 : x
  2. Step 2: Convert to fraction form
    28,734/42,927 = 42,927/x
  3. Step 3: Cross multiply
    28,734x = 42,927 × 42,927
  4. Step 4: Simplify right side
    28,734x = 1,842,727,329
  5. Step 5: Solve for x
    x = 1,842,727,329/28,734
  6. Step 6: Final answer
    x = 64,130.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.