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Finding the Third Proportional to 27,773.25 and 39,688.13

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Solution

The third proportional to 27,773.25 and 39,688.13 is: 56,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.25 : 39,688.13 = 39,688.13 : x
  2. Step 2: Convert to fraction form
    27,773.25/39,688.13 = 39,688.13/x
  3. Step 3: Cross multiply
    27,773.25x = 39,688.13 × 39,688.13
  4. Step 4: Simplify right side
    27,773.25x = 1,575,147,266.02
  5. Step 5: Solve for x
    x = 1,575,147,266.02/27,773.25
  6. Step 6: Final answer
    x = 56,714.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.