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Finding the Third Proportional to 6,308.63 and 9,683.86

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Solution

The third proportional to 6,308.63 and 9,683.86 is: 14,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.63 : 9,683.86 = 9,683.86 : x
  2. Step 2: Convert to fraction form
    6,308.63/9,683.86 = 9,683.86/x
  3. Step 3: Cross multiply
    6,308.63x = 9,683.86 × 9,683.86
  4. Step 4: Simplify right side
    6,308.63x = 93,777,132.39
  5. Step 5: Solve for x
    x = 93,777,132.39/6,308.63
  6. Step 6: Final answer
    x = 14,864.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.