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Finding the Third Proportional to 7,674.75 and 14,988.80

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Solution

The third proportional to 7,674.75 and 14,988.80 is: 29,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 14,988.80 = 14,988.80 : x
  2. Step 2: Convert to fraction form
    7,674.75/14,988.80 = 14,988.80/x
  3. Step 3: Cross multiply
    7,674.75x = 14,988.80 × 14,988.80
  4. Step 4: Simplify right side
    7,674.75x = 224,664,031.76
  5. Step 5: Solve for x
    x = 224,664,031.76/7,674.75
  6. Step 6: Final answer
    x = 29,273.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.