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Finding the Third Proportional to 27,064.13 and 59,033.81

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Solution

The third proportional to 27,064.13 and 59,033.81 is: 128,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 59,033.81 = 59,033.81 : x
  2. Step 2: Convert to fraction form
    27,064.13/59,033.81 = 59,033.81/x
  3. Step 3: Cross multiply
    27,064.13x = 59,033.81 × 59,033.81
  4. Step 4: Simplify right side
    27,064.13x = 3,484,991,018.29
  5. Step 5: Solve for x
    x = 3,484,991,018.29/27,064.13
  6. Step 6: Final answer
    x = 128,767.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.