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Finding the Third Proportional to 29,390.50 and 65,321

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Solution

The third proportional to 29,390.50 and 65,321 is: 145,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,390.50 : 65,321 = 65,321 : x
  2. Step 2: Convert to fraction form
    29,390.50/65,321 = 65,321/x
  3. Step 3: Cross multiply
    29,390.50x = 65,321 × 65,321
  4. Step 4: Simplify right side
    29,390.50x = 4,266,833,041
  5. Step 5: Solve for x
    x = 4,266,833,041/29,390.50
  6. Step 6: Final answer
    x = 145,177.29

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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.