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Finding the Third Proportional to 35,266.63 and 47,842.38

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Solution

The third proportional to 35,266.63 and 47,842.38 is: 64,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,266.63 : 47,842.38 = 47,842.38 : x
  2. Step 2: Convert to fraction form
    35,266.63/47,842.38 = 47,842.38/x
  3. Step 3: Cross multiply
    35,266.63x = 47,842.38 × 47,842.38
  4. Step 4: Simplify right side
    35,266.63x = 2,288,892,845.64
  5. Step 5: Solve for x
    x = 2,288,892,845.64/35,266.63
  6. Step 6: Final answer
    x = 64,902.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.