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Finding the Third Proportional to 9,753.19 and 14,715.94

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Solution

The third proportional to 9,753.19 and 14,715.94 is: 22,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.19 : 14,715.94 = 14,715.94 : x
  2. Step 2: Convert to fraction form
    9,753.19/14,715.94 = 14,715.94/x
  3. Step 3: Cross multiply
    9,753.19x = 14,715.94 × 14,715.94
  4. Step 4: Simplify right side
    9,753.19x = 216,558,816.50
  5. Step 5: Solve for x
    x = 216,558,816.50/9,753.19
  6. Step 6: Final answer
    x = 22,203.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.