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Finding the Third Proportional to 28,387 and 42,973

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Solution

The third proportional to 28,387 and 42,973 is: 65,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,387 : 42,973 = 42,973 : x
  2. Step 2: Convert to fraction form
    28,387/42,973 = 42,973/x
  3. Step 3: Cross multiply
    28,387x = 42,973 × 42,973
  4. Step 4: Simplify right side
    28,387x = 1,846,678,729
  5. Step 5: Solve for x
    x = 1,846,678,729/28,387
  6. Step 6: Final answer
    x = 65,053.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.