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Finding the Third Proportional to 7,760.81 and 16,599.94

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Solution

The third proportional to 7,760.81 and 16,599.94 is: 35,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.81 : 16,599.94 = 16,599.94 : x
  2. Step 2: Convert to fraction form
    7,760.81/16,599.94 = 16,599.94/x
  3. Step 3: Cross multiply
    7,760.81x = 16,599.94 × 16,599.94
  4. Step 4: Simplify right side
    7,760.81x = 275,557,925.00
  5. Step 5: Solve for x
    x = 275,557,925.00/7,760.81
  6. Step 6: Final answer
    x = 35,506.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.