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Finding the Third Proportional to 21,985 and 34,064

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Solution

The third proportional to 21,985 and 34,064 is: 52,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985 : 34,064 = 34,064 : x
  2. Step 2: Convert to fraction form
    21,985/34,064 = 34,064/x
  3. Step 3: Cross multiply
    21,985x = 34,064 × 34,064
  4. Step 4: Simplify right side
    21,985x = 1,160,356,096
  5. Step 5: Solve for x
    x = 1,160,356,096/21,985
  6. Step 6: Final answer
    x = 52,779.44

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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.