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Finding the Third Proportional to 9,900.14 and 12,129.75

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Solution

The third proportional to 9,900.14 and 12,129.75 is: 14,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.14 : 12,129.75 = 12,129.75 : x
  2. Step 2: Convert to fraction form
    9,900.14/12,129.75 = 12,129.75/x
  3. Step 3: Cross multiply
    9,900.14x = 12,129.75 × 12,129.75
  4. Step 4: Simplify right side
    9,900.14x = 147,130,835.06
  5. Step 5: Solve for x
    x = 147,130,835.06/9,900.14
  6. Step 6: Final answer
    x = 14,861.49

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.