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Finding the Third Proportional to 9,686.25 and 14,495.63

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Solution

The third proportional to 9,686.25 and 14,495.63 is: 21,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.25 : 14,495.63 = 14,495.63 : x
  2. Step 2: Convert to fraction form
    9,686.25/14,495.63 = 14,495.63/x
  3. Step 3: Cross multiply
    9,686.25x = 14,495.63 × 14,495.63
  4. Step 4: Simplify right side
    9,686.25x = 210,123,144.14
  5. Step 5: Solve for x
    x = 210,123,144.14/9,686.25
  6. Step 6: Final answer
    x = 21,692.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.