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Finding the Third Proportional to 34,035.75 and 48,642.75

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Solution

The third proportional to 34,035.75 and 48,642.75 is: 69,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.75 : 48,642.75 = 48,642.75 : x
  2. Step 2: Convert to fraction form
    34,035.75/48,642.75 = 48,642.75/x
  3. Step 3: Cross multiply
    34,035.75x = 48,642.75 × 48,642.75
  4. Step 4: Simplify right side
    34,035.75x = 2,366,117,127.56
  5. Step 5: Solve for x
    x = 2,366,117,127.56/34,035.75
  6. Step 6: Final answer
    x = 69,518.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.