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Finding the Third Proportional to 27,765 and 39,570.69

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Solution

The third proportional to 27,765 and 39,570.69 is: 56,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 39,570.69 = 39,570.69 : x
  2. Step 2: Convert to fraction form
    27,765/39,570.69 = 39,570.69/x
  3. Step 3: Cross multiply
    27,765x = 39,570.69 × 39,570.69
  4. Step 4: Simplify right side
    27,765x = 1,565,839,309.22
  5. Step 5: Solve for x
    x = 1,565,839,309.22/27,765
  6. Step 6: Final answer
    x = 56,396.16

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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.