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Finding the Third Proportional to 8,646.75 and 12,342.38

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Solution

The third proportional to 8,646.75 and 12,342.38 is: 17,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 12,342.38 = 12,342.38 : x
  2. Step 2: Convert to fraction form
    8,646.75/12,342.38 = 12,342.38/x
  3. Step 3: Cross multiply
    8,646.75x = 12,342.38 × 12,342.38
  4. Step 4: Simplify right side
    8,646.75x = 152,334,220.64
  5. Step 5: Solve for x
    x = 152,334,220.64/8,646.75
  6. Step 6: Final answer
    x = 17,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.