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Finding the Third Proportional to 13,857.89 and 28,700.16

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Solution

The third proportional to 13,857.89 and 28,700.16 is: 59,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.89 : 28,700.16 = 28,700.16 : x
  2. Step 2: Convert to fraction form
    13,857.89/28,700.16 = 28,700.16/x
  3. Step 3: Cross multiply
    13,857.89x = 28,700.16 × 28,700.16
  4. Step 4: Simplify right side
    13,857.89x = 823,698,968.77
  5. Step 5: Solve for x
    x = 823,698,968.77/13,857.89
  6. Step 6: Final answer
    x = 59,438.99

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.