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Finding the Third Proportional to 8,653.50 and 14,313.38

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Solution

The third proportional to 8,653.50 and 14,313.38 is: 23,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.50 : 14,313.38 = 14,313.38 : x
  2. Step 2: Convert to fraction form
    8,653.50/14,313.38 = 14,313.38/x
  3. Step 3: Cross multiply
    8,653.50x = 14,313.38 × 14,313.38
  4. Step 4: Simplify right side
    8,653.50x = 204,872,703.89
  5. Step 5: Solve for x
    x = 204,872,703.89/8,653.50
  6. Step 6: Final answer
    x = 23,675.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.