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Finding the Third Proportional to 40,783 and 63,029

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Solution

The third proportional to 40,783 and 63,029 is: 97,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783 : 63,029 = 63,029 : x
  2. Step 2: Convert to fraction form
    40,783/63,029 = 63,029/x
  3. Step 3: Cross multiply
    40,783x = 63,029 × 63,029
  4. Step 4: Simplify right side
    40,783x = 3,972,654,841
  5. Step 5: Solve for x
    x = 3,972,654,841/40,783
  6. Step 6: Final answer
    x = 97,409.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.