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Finding the Third Proportional to 6,629.34 and 9,720.84

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Solution

The third proportional to 6,629.34 and 9,720.84 is: 14,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.34 : 9,720.84 = 9,720.84 : x
  2. Step 2: Convert to fraction form
    6,629.34/9,720.84 = 9,720.84/x
  3. Step 3: Cross multiply
    6,629.34x = 9,720.84 × 9,720.84
  4. Step 4: Simplify right side
    6,629.34x = 94,494,803.21
  5. Step 5: Solve for x
    x = 94,494,803.21/6,629.34
  6. Step 6: Final answer
    x = 14,254.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.