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Finding the Third Proportional to 46,993 and 72,877

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Solution

The third proportional to 46,993 and 72,877 is: 113,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993 : 72,877 = 72,877 : x
  2. Step 2: Convert to fraction form
    46,993/72,877 = 72,877/x
  3. Step 3: Cross multiply
    46,993x = 72,877 × 72,877
  4. Step 4: Simplify right side
    46,993x = 5,311,057,129
  5. Step 5: Solve for x
    x = 5,311,057,129/46,993
  6. Step 6: Final answer
    x = 113,018.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.