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Finding the Third Proportional to 29,827.50 and 64,226.25

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Solution

The third proportional to 29,827.50 and 64,226.25 is: 138,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.50 : 64,226.25 = 64,226.25 : x
  2. Step 2: Convert to fraction form
    29,827.50/64,226.25 = 64,226.25/x
  3. Step 3: Cross multiply
    29,827.50x = 64,226.25 × 64,226.25
  4. Step 4: Simplify right side
    29,827.50x = 4,125,011,189.06
  5. Step 5: Solve for x
    x = 4,125,011,189.06/29,827.50
  6. Step 6: Final answer
    x = 138,295.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.