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Finding the Third Proportional to 9,562.13 and 13,772.13

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Solution

The third proportional to 9,562.13 and 13,772.13 is: 19,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.13 : 13,772.13 = 13,772.13 : x
  2. Step 2: Convert to fraction form
    9,562.13/13,772.13 = 13,772.13/x
  3. Step 3: Cross multiply
    9,562.13x = 13,772.13 × 13,772.13
  4. Step 4: Simplify right side
    9,562.13x = 189,671,427.02
  5. Step 5: Solve for x
    x = 189,671,427.02/9,562.13
  6. Step 6: Final answer
    x = 19,835.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.