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Finding the Third Proportional to 9,868.50 and 14,765.63

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Solution

The third proportional to 9,868.50 and 14,765.63 is: 22,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.50 : 14,765.63 = 14,765.63 : x
  2. Step 2: Convert to fraction form
    9,868.50/14,765.63 = 14,765.63/x
  3. Step 3: Cross multiply
    9,868.50x = 14,765.63 × 14,765.63
  4. Step 4: Simplify right side
    9,868.50x = 218,023,681.64
  5. Step 5: Solve for x
    x = 218,023,681.64/9,868.50
  6. Step 6: Final answer
    x = 22,092.89

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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.