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Finding the Third Proportional to 9,101.11 and 14,056.03

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Solution

The third proportional to 9,101.11 and 14,056.03 is: 21,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.11 : 14,056.03 = 14,056.03 : x
  2. Step 2: Convert to fraction form
    9,101.11/14,056.03 = 14,056.03/x
  3. Step 3: Cross multiply
    9,101.11x = 14,056.03 × 14,056.03
  4. Step 4: Simplify right side
    9,101.11x = 197,572,014.50
  5. Step 5: Solve for x
    x = 197,572,014.50/9,101.11
  6. Step 6: Final answer
    x = 21,708.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.