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Finding the Third Proportional to 27,755.16 and 42,931.27

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Solution

The third proportional to 27,755.16 and 42,931.27 is: 66,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.16 : 42,931.27 = 42,931.27 : x
  2. Step 2: Convert to fraction form
    27,755.16/42,931.27 = 42,931.27/x
  3. Step 3: Cross multiply
    27,755.16x = 42,931.27 × 42,931.27
  4. Step 4: Simplify right side
    27,755.16x = 1,843,093,568.16
  5. Step 5: Solve for x
    x = 1,843,093,568.16/27,755.16
  6. Step 6: Final answer
    x = 66,405.45

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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.