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Finding the Third Proportional to 9,474.47 and 14,501.53

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Solution

The third proportional to 9,474.47 and 14,501.53 is: 22,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.47 : 14,501.53 = 14,501.53 : x
  2. Step 2: Convert to fraction form
    9,474.47/14,501.53 = 14,501.53/x
  3. Step 3: Cross multiply
    9,474.47x = 14,501.53 × 14,501.53
  4. Step 4: Simplify right side
    9,474.47x = 210,294,408.59
  5. Step 5: Solve for x
    x = 210,294,408.59/9,474.47
  6. Step 6: Final answer
    x = 22,195.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.