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Finding the Third Proportional to 3,070.13 and 4,606.88

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Solution

The third proportional to 3,070.13 and 4,606.88 is: 6,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.13 : 4,606.88 = 4,606.88 : x
  2. Step 2: Convert to fraction form
    3,070.13/4,606.88 = 4,606.88/x
  3. Step 3: Cross multiply
    3,070.13x = 4,606.88 × 4,606.88
  4. Step 4: Simplify right side
    3,070.13x = 21,223,297.27
  5. Step 5: Solve for x
    x = 21,223,297.27/3,070.13
  6. Step 6: Final answer
    x = 6,912.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.