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Finding the Third Proportional to 9,669.38 and 14,088.94

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Solution

The third proportional to 9,669.38 and 14,088.94 is: 20,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.38 : 14,088.94 = 14,088.94 : x
  2. Step 2: Convert to fraction form
    9,669.38/14,088.94 = 14,088.94/x
  3. Step 3: Cross multiply
    9,669.38x = 14,088.94 × 14,088.94
  4. Step 4: Simplify right side
    9,669.38x = 198,498,159.88
  5. Step 5: Solve for x
    x = 198,498,159.88/9,669.38
  6. Step 6: Final answer
    x = 20,528.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.