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Finding the Third Proportional to 22,807 and 34,118

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Solution

The third proportional to 22,807 and 34,118 is: 51,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807 : 34,118 = 34,118 : x
  2. Step 2: Convert to fraction form
    22,807/34,118 = 34,118/x
  3. Step 3: Cross multiply
    22,807x = 34,118 × 34,118
  4. Step 4: Simplify right side
    22,807x = 1,164,037,924
  5. Step 5: Solve for x
    x = 1,164,037,924/22,807
  6. Step 6: Final answer
    x = 51,038.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.