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Finding the Third Proportional to 9,552.94 and 14,216.77

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Solution

The third proportional to 9,552.94 and 14,216.77 is: 21,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.94 : 14,216.77 = 14,216.77 : x
  2. Step 2: Convert to fraction form
    9,552.94/14,216.77 = 14,216.77/x
  3. Step 3: Cross multiply
    9,552.94x = 14,216.77 × 14,216.77
  4. Step 4: Simplify right side
    9,552.94x = 202,116,424.84
  5. Step 5: Solve for x
    x = 202,116,424.84/9,552.94
  6. Step 6: Final answer
    x = 21,157.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.