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Finding the Third Proportional to 9,433.13 and 16,557.75

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Solution

The third proportional to 9,433.13 and 16,557.75 is: 29,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.13 : 16,557.75 = 16,557.75 : x
  2. Step 2: Convert to fraction form
    9,433.13/16,557.75 = 16,557.75/x
  3. Step 3: Cross multiply
    9,433.13x = 16,557.75 × 16,557.75
  4. Step 4: Simplify right side
    9,433.13x = 274,159,085.06
  5. Step 5: Solve for x
    x = 274,159,085.06/9,433.13
  6. Step 6: Final answer
    x = 29,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.