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Finding the Third Proportional to 46,989 and 72,871

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Solution

The third proportional to 46,989 and 72,871 is: 113,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,989 : 72,871 = 72,871 : x
  2. Step 2: Convert to fraction form
    46,989/72,871 = 72,871/x
  3. Step 3: Cross multiply
    46,989x = 72,871 × 72,871
  4. Step 4: Simplify right side
    46,989x = 5,310,182,641
  5. Step 5: Solve for x
    x = 5,310,182,641/46,989
  6. Step 6: Final answer
    x = 113,009.06

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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.