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Finding the Third Proportional to 27,327 and 59,734.50

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Solution

The third proportional to 27,327 and 59,734.50 is: 130,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,327 : 59,734.50 = 59,734.50 : x
  2. Step 2: Convert to fraction form
    27,327/59,734.50 = 59,734.50/x
  3. Step 3: Cross multiply
    27,327x = 59,734.50 × 59,734.50
  4. Step 4: Simplify right side
    27,327x = 3,568,210,490.25
  5. Step 5: Solve for x
    x = 3,568,210,490.25/27,327
  6. Step 6: Final answer
    x = 130,574.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.