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Finding the Third Proportional to 29,797 and 65,283.50

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Solution

The third proportional to 29,797 and 65,283.50 is: 143,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797 : 65,283.50 = 65,283.50 : x
  2. Step 2: Convert to fraction form
    29,797/65,283.50 = 65,283.50/x
  3. Step 3: Cross multiply
    29,797x = 65,283.50 × 65,283.50
  4. Step 4: Simplify right side
    29,797x = 4,261,935,372.25
  5. Step 5: Solve for x
    x = 4,261,935,372.25/29,797
  6. Step 6: Final answer
    x = 143,032.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.