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Finding the Third Proportional to 28,413 and 42,620

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Solution

The third proportional to 28,413 and 42,620 is: 63,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 42,620 = 42,620 : x
  2. Step 2: Convert to fraction form
    28,413/42,620 = 42,620/x
  3. Step 3: Cross multiply
    28,413x = 42,620 × 42,620
  4. Step 4: Simplify right side
    28,413x = 1,816,464,400
  5. Step 5: Solve for x
    x = 1,816,464,400/28,413
  6. Step 6: Final answer
    x = 63,930.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.