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Finding the Third Proportional to 9,555 and 12,835.50

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Solution

The third proportional to 9,555 and 12,835.50 is: 17,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555 : 12,835.50 = 12,835.50 : x
  2. Step 2: Convert to fraction form
    9,555/12,835.50 = 12,835.50/x
  3. Step 3: Cross multiply
    9,555x = 12,835.50 × 12,835.50
  4. Step 4: Simplify right side
    9,555x = 164,750,060.25
  5. Step 5: Solve for x
    x = 164,750,060.25/9,555
  6. Step 6: Final answer
    x = 17,242.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.