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Finding the Third Proportional to 27,401.57 and 59,762.34

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Solution

The third proportional to 27,401.57 and 59,762.34 is: 130,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401.57 : 59,762.34 = 59,762.34 : x
  2. Step 2: Convert to fraction form
    27,401.57/59,762.34 = 59,762.34/x
  3. Step 3: Cross multiply
    27,401.57x = 59,762.34 × 59,762.34
  4. Step 4: Simplify right side
    27,401.57x = 3,571,537,030.15
  5. Step 5: Solve for x
    x = 3,571,537,030.15/27,401.57
  6. Step 6: Final answer
    x = 130,340.59

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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.