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Finding the Third Proportional to 6,748.50 and 15,762.38

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Solution

The third proportional to 6,748.50 and 15,762.38 is: 36,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.50 : 15,762.38 = 15,762.38 : x
  2. Step 2: Convert to fraction form
    6,748.50/15,762.38 = 15,762.38/x
  3. Step 3: Cross multiply
    6,748.50x = 15,762.38 × 15,762.38
  4. Step 4: Simplify right side
    6,748.50x = 248,452,465.64
  5. Step 5: Solve for x
    x = 248,452,465.64/6,748.50
  6. Step 6: Final answer
    x = 36,815.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.