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Finding the Third Proportional to 4,959.35 and 7,683.93

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Solution

The third proportional to 4,959.35 and 7,683.93 is: 11,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.35 : 7,683.93 = 7,683.93 : x
  2. Step 2: Convert to fraction form
    4,959.35/7,683.93 = 7,683.93/x
  3. Step 3: Cross multiply
    4,959.35x = 7,683.93 × 7,683.93
  4. Step 4: Simplify right side
    4,959.35x = 59,042,715.41
  5. Step 5: Solve for x
    x = 59,042,715.41/4,959.35
  6. Step 6: Final answer
    x = 11,905.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.