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Finding the Third Proportional to 4,533.75 and 6,638.63

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Solution

The third proportional to 4,533.75 and 6,638.63 is: 9,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.75 : 6,638.63 = 6,638.63 : x
  2. Step 2: Convert to fraction form
    4,533.75/6,638.63 = 6,638.63/x
  3. Step 3: Cross multiply
    4,533.75x = 6,638.63 × 6,638.63
  4. Step 4: Simplify right side
    4,533.75x = 44,071,341.89
  5. Step 5: Solve for x
    x = 44,071,341.89/4,533.75
  6. Step 6: Final answer
    x = 9,720.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.