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Finding the Third Proportional to 3,715.50 and 7,693.69

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Solution

The third proportional to 3,715.50 and 7,693.69 is: 15,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.50 : 7,693.69 = 7,693.69 : x
  2. Step 2: Convert to fraction form
    3,715.50/7,693.69 = 7,693.69/x
  3. Step 3: Cross multiply
    3,715.50x = 7,693.69 × 7,693.69
  4. Step 4: Simplify right side
    3,715.50x = 59,192,827.35
  5. Step 5: Solve for x
    x = 59,192,827.35/3,715.50
  6. Step 6: Final answer
    x = 15,931.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.