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Finding the Third Proportional to 4,070.53 and 6,343.59

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Solution

The third proportional to 4,070.53 and 6,343.59 is: 9,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.53 : 6,343.59 = 6,343.59 : x
  2. Step 2: Convert to fraction form
    4,070.53/6,343.59 = 6,343.59/x
  3. Step 3: Cross multiply
    4,070.53x = 6,343.59 × 6,343.59
  4. Step 4: Simplify right side
    4,070.53x = 40,241,181.67
  5. Step 5: Solve for x
    x = 40,241,181.67/4,070.53
  6. Step 6: Final answer
    x = 9,885.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.