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Finding the Third Proportional to 35,464 and 75,032

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Solution

The third proportional to 35,464 and 75,032 is: 158,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464 : 75,032 = 75,032 : x
  2. Step 2: Convert to fraction form
    35,464/75,032 = 75,032/x
  3. Step 3: Cross multiply
    35,464x = 75,032 × 75,032
  4. Step 4: Simplify right side
    35,464x = 5,629,801,024
  5. Step 5: Solve for x
    x = 5,629,801,024/35,464
  6. Step 6: Final answer
    x = 158,746.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.