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Finding the Third Proportional to 29,907 and 53,967

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Solution

The third proportional to 29,907 and 53,967 is: 97,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907 : 53,967 = 53,967 : x
  2. Step 2: Convert to fraction form
    29,907/53,967 = 53,967/x
  3. Step 3: Cross multiply
    29,907x = 53,967 × 53,967
  4. Step 4: Simplify right side
    29,907x = 2,912,437,089
  5. Step 5: Solve for x
    x = 2,912,437,089/29,907
  6. Step 6: Final answer
    x = 97,383.12

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.