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Finding the Third Proportional to 12,088.30 and 16,325.61

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Solution

The third proportional to 12,088.30 and 16,325.61 is: 22,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.30 : 16,325.61 = 16,325.61 : x
  2. Step 2: Convert to fraction form
    12,088.30/16,325.61 = 16,325.61/x
  3. Step 3: Cross multiply
    12,088.30x = 16,325.61 × 16,325.61
  4. Step 4: Simplify right side
    12,088.30x = 266,525,649.01
  5. Step 5: Solve for x
    x = 266,525,649.01/12,088.30
  6. Step 6: Final answer
    x = 22,048.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.