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Finding the Third Proportional to 28,998 and 42,642

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Solution

The third proportional to 28,998 and 42,642 is: 62,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,998 : 42,642 = 42,642 : x
  2. Step 2: Convert to fraction form
    28,998/42,642 = 42,642/x
  3. Step 3: Cross multiply
    28,998x = 42,642 × 42,642
  4. Step 4: Simplify right side
    28,998x = 1,818,340,164
  5. Step 5: Solve for x
    x = 1,818,340,164/28,998
  6. Step 6: Final answer
    x = 62,705.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.