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Finding the Third Proportional to 7,140 and 11,826

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Solution

The third proportional to 7,140 and 11,826 is: 19,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 11,826 = 11,826 : x
  2. Step 2: Convert to fraction form
    7,140/11,826 = 11,826/x
  3. Step 3: Cross multiply
    7,140x = 11,826 × 11,826
  4. Step 4: Simplify right side
    7,140x = 139,854,276
  5. Step 5: Solve for x
    x = 139,854,276/7,140
  6. Step 6: Final answer
    x = 19,587.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.