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Finding the Third Proportional to 4,851.75 and 7,315.88

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Solution

The third proportional to 4,851.75 and 7,315.88 is: 11,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.75 : 7,315.88 = 7,315.88 : x
  2. Step 2: Convert to fraction form
    4,851.75/7,315.88 = 7,315.88/x
  3. Step 3: Cross multiply
    4,851.75x = 7,315.88 × 7,315.88
  4. Step 4: Simplify right side
    4,851.75x = 53,522,027.02
  5. Step 5: Solve for x
    x = 53,522,027.02/4,851.75
  6. Step 6: Final answer
    x = 11,031.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.