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Finding the Third Proportional to 9,409.01 and 14,560.42

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Solution

The third proportional to 9,409.01 and 14,560.42 is: 22,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.01 : 14,560.42 = 14,560.42 : x
  2. Step 2: Convert to fraction form
    9,409.01/14,560.42 = 14,560.42/x
  3. Step 3: Cross multiply
    9,409.01x = 14,560.42 × 14,560.42
  4. Step 4: Simplify right side
    9,409.01x = 212,005,899.40
  5. Step 5: Solve for x
    x = 212,005,899.40/9,409.01
  6. Step 6: Final answer
    x = 22,532.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.