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Finding the Third Proportional to 6,603.40 and 14,683.15

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Solution

The third proportional to 6,603.40 and 14,683.15 is: 32,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.40 : 14,683.15 = 14,683.15 : x
  2. Step 2: Convert to fraction form
    6,603.40/14,683.15 = 14,683.15/x
  3. Step 3: Cross multiply
    6,603.40x = 14,683.15 × 14,683.15
  4. Step 4: Simplify right side
    6,603.40x = 215,594,848.04
  5. Step 5: Solve for x
    x = 215,594,848.04/6,603.40
  6. Step 6: Final answer
    x = 32,649.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.