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Finding the Third Proportional to 3,000.94 and 4,748.06

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Solution

The third proportional to 3,000.94 and 4,748.06 is: 7,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.94 : 4,748.06 = 4,748.06 : x
  2. Step 2: Convert to fraction form
    3,000.94/4,748.06 = 4,748.06/x
  3. Step 3: Cross multiply
    3,000.94x = 4,748.06 × 4,748.06
  4. Step 4: Simplify right side
    3,000.94x = 22,544,097.50
  5. Step 5: Solve for x
    x = 22,544,097.50/3,000.94
  6. Step 6: Final answer
    x = 7,512.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.