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Finding the Third Proportional to 9,666.84 and 14,978.67

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Solution

The third proportional to 9,666.84 and 14,978.67 is: 23,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.84 : 14,978.67 = 14,978.67 : x
  2. Step 2: Convert to fraction form
    9,666.84/14,978.67 = 14,978.67/x
  3. Step 3: Cross multiply
    9,666.84x = 14,978.67 × 14,978.67
  4. Step 4: Simplify right side
    9,666.84x = 224,360,611.14
  5. Step 5: Solve for x
    x = 224,360,611.14/9,666.84
  6. Step 6: Final answer
    x = 23,209.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.