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Finding the Third Proportional to 35,047 and 76,430

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Solution

The third proportional to 35,047 and 76,430 is: 166,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047 : 76,430 = 76,430 : x
  2. Step 2: Convert to fraction form
    35,047/76,430 = 76,430/x
  3. Step 3: Cross multiply
    35,047x = 76,430 × 76,430
  4. Step 4: Simplify right side
    35,047x = 5,841,544,900
  5. Step 5: Solve for x
    x = 5,841,544,900/35,047
  6. Step 6: Final answer
    x = 166,677.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.