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Finding the Third Proportional to 27,384.49 and 59,792.24

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Solution

The third proportional to 27,384.49 and 59,792.24 is: 130,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.49 : 59,792.24 = 59,792.24 : x
  2. Step 2: Convert to fraction form
    27,384.49/59,792.24 = 59,792.24/x
  3. Step 3: Cross multiply
    27,384.49x = 59,792.24 × 59,792.24
  4. Step 4: Simplify right side
    27,384.49x = 3,575,111,758.68
  5. Step 5: Solve for x
    x = 3,575,111,758.68/27,384.49
  6. Step 6: Final answer
    x = 130,552.45

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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.