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Finding the Third Proportional to 4,964.63 and 7,720.31

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Solution

The third proportional to 4,964.63 and 7,720.31 is: 12,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.63 : 7,720.31 = 7,720.31 : x
  2. Step 2: Convert to fraction form
    4,964.63/7,720.31 = 7,720.31/x
  3. Step 3: Cross multiply
    4,964.63x = 7,720.31 × 7,720.31
  4. Step 4: Simplify right side
    4,964.63x = 59,603,225.10
  5. Step 5: Solve for x
    x = 59,603,225.10/4,964.63
  6. Step 6: Final answer
    x = 12,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.