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Finding the Third Proportional to 34,224.75 and 51,051.94

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Solution

The third proportional to 34,224.75 and 51,051.94 is: 76,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224.75 : 51,051.94 = 51,051.94 : x
  2. Step 2: Convert to fraction form
    34,224.75/51,051.94 = 51,051.94/x
  3. Step 3: Cross multiply
    34,224.75x = 51,051.94 × 51,051.94
  4. Step 4: Simplify right side
    34,224.75x = 2,606,300,322.50
  5. Step 5: Solve for x
    x = 2,606,300,322.50/34,224.75
  6. Step 6: Final answer
    x = 76,152.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.