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Finding the Third Proportional to 27,405.84 and 59,762.81

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Solution

The third proportional to 27,405.84 and 59,762.81 is: 130,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.84 : 59,762.81 = 59,762.81 : x
  2. Step 2: Convert to fraction form
    27,405.84/59,762.81 = 59,762.81/x
  3. Step 3: Cross multiply
    27,405.84x = 59,762.81 × 59,762.81
  4. Step 4: Simplify right side
    27,405.84x = 3,571,593,757.91
  5. Step 5: Solve for x
    x = 3,571,593,757.91/27,405.84
  6. Step 6: Final answer
    x = 130,322.34

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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.