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Finding the Third Proportional to 6,924 and 9,715.50

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Solution

The third proportional to 6,924 and 9,715.50 is: 13,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924 : 9,715.50 = 9,715.50 : x
  2. Step 2: Convert to fraction form
    6,924/9,715.50 = 9,715.50/x
  3. Step 3: Cross multiply
    6,924x = 9,715.50 × 9,715.50
  4. Step 4: Simplify right side
    6,924x = 94,390,940.25
  5. Step 5: Solve for x
    x = 94,390,940.25/6,924
  6. Step 6: Final answer
    x = 13,632.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.