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Finding the Third Proportional to 4,315.50 and 6,538.22

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Solution

The third proportional to 4,315.50 and 6,538.22 is: 9,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.50 : 6,538.22 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    4,315.50/6,538.22 = 6,538.22/x
  3. Step 3: Cross multiply
    4,315.50x = 6,538.22 × 6,538.22
  4. Step 4: Simplify right side
    4,315.50x = 42,748,304.42
  5. Step 5: Solve for x
    x = 42,748,304.42/4,315.50
  6. Step 6: Final answer
    x = 9,905.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.