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Finding the Third Proportional to 29,250 and 41,827.50

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Solution

The third proportional to 29,250 and 41,827.50 is: 59,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,250 : 41,827.50 = 41,827.50 : x
  2. Step 2: Convert to fraction form
    29,250/41,827.50 = 41,827.50/x
  3. Step 3: Cross multiply
    29,250x = 41,827.50 × 41,827.50
  4. Step 4: Simplify right side
    29,250x = 1,749,539,756.25
  5. Step 5: Solve for x
    x = 1,749,539,756.25/29,250
  6. Step 6: Final answer
    x = 59,813.33

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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.