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Finding the Third Proportional to 6,507.84 and 9,782.02

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Solution

The third proportional to 6,507.84 and 9,782.02 is: 14,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.84 : 9,782.02 = 9,782.02 : x
  2. Step 2: Convert to fraction form
    6,507.84/9,782.02 = 9,782.02/x
  3. Step 3: Cross multiply
    6,507.84x = 9,782.02 × 9,782.02
  4. Step 4: Simplify right side
    6,507.84x = 95,687,829.69
  5. Step 5: Solve for x
    x = 95,687,829.69/6,507.84
  6. Step 6: Final answer
    x = 14,703.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.