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Finding the Third Proportional to 30,032 and 63,952

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Solution

The third proportional to 30,032 and 63,952 is: 136,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032 : 63,952 = 63,952 : x
  2. Step 2: Convert to fraction form
    30,032/63,952 = 63,952/x
  3. Step 3: Cross multiply
    30,032x = 63,952 × 63,952
  4. Step 4: Simplify right side
    30,032x = 4,089,858,304
  5. Step 5: Solve for x
    x = 4,089,858,304/30,032
  6. Step 6: Final answer
    x = 136,183.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.