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Finding the Third Proportional to 4,729.01 and 6,627.45

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Solution

The third proportional to 4,729.01 and 6,627.45 is: 9,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.01 : 6,627.45 = 6,627.45 : x
  2. Step 2: Convert to fraction form
    4,729.01/6,627.45 = 6,627.45/x
  3. Step 3: Cross multiply
    4,729.01x = 6,627.45 × 6,627.45
  4. Step 4: Simplify right side
    4,729.01x = 43,923,031.37
  5. Step 5: Solve for x
    x = 43,923,031.37/4,729.01
  6. Step 6: Final answer
    x = 9,288.00

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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.