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Finding the Third Proportional to 6,924 and 14,686.50

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Solution

The third proportional to 6,924 and 14,686.50 is: 31,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924 : 14,686.50 = 14,686.50 : x
  2. Step 2: Convert to fraction form
    6,924/14,686.50 = 14,686.50/x
  3. Step 3: Cross multiply
    6,924x = 14,686.50 × 14,686.50
  4. Step 4: Simplify right side
    6,924x = 215,693,282.25
  5. Step 5: Solve for x
    x = 215,693,282.25/6,924
  6. Step 6: Final answer
    x = 31,151.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.