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Finding the Third Proportional to 29,370.50 and 65,281

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Solution

The third proportional to 29,370.50 and 65,281 is: 145,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,370.50 : 65,281 = 65,281 : x
  2. Step 2: Convert to fraction form
    29,370.50/65,281 = 65,281/x
  3. Step 3: Cross multiply
    29,370.50x = 65,281 × 65,281
  4. Step 4: Simplify right side
    29,370.50x = 4,261,608,961
  5. Step 5: Solve for x
    x = 4,261,608,961/29,370.50
  6. Step 6: Final answer
    x = 145,098.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.