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Finding the Third Proportional to 35,514 and 74,430

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Solution

The third proportional to 35,514 and 74,430 is: 155,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514 : 74,430 = 74,430 : x
  2. Step 2: Convert to fraction form
    35,514/74,430 = 74,430/x
  3. Step 3: Cross multiply
    35,514x = 74,430 × 74,430
  4. Step 4: Simplify right side
    35,514x = 5,539,824,900
  5. Step 5: Solve for x
    x = 5,539,824,900/35,514
  6. Step 6: Final answer
    x = 155,989.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.