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Finding the Third Proportional to 35,427 and 74,853

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Solution

The third proportional to 35,427 and 74,853 is: 158,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,427 : 74,853 = 74,853 : x
  2. Step 2: Convert to fraction form
    35,427/74,853 = 74,853/x
  3. Step 3: Cross multiply
    35,427x = 74,853 × 74,853
  4. Step 4: Simplify right side
    35,427x = 5,602,971,609
  5. Step 5: Solve for x
    x = 5,602,971,609/35,427
  6. Step 6: Final answer
    x = 158,155.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.