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Finding the Third Proportional to 13,156.88 and 27,792

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Solution

The third proportional to 13,156.88 and 27,792 is: 58,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.88 : 27,792 = 27,792 : x
  2. Step 2: Convert to fraction form
    13,156.88/27,792 = 27,792/x
  3. Step 3: Cross multiply
    13,156.88x = 27,792 × 27,792
  4. Step 4: Simplify right side
    13,156.88x = 772,395,264
  5. Step 5: Solve for x
    x = 772,395,264/13,156.88
  6. Step 6: Final answer
    x = 58,706.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.