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Finding the Third Proportional to 37,657 and 78,433

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Solution

The third proportional to 37,657 and 78,433 is: 163,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 78,433 = 78,433 : x
  2. Step 2: Convert to fraction form
    37,657/78,433 = 78,433/x
  3. Step 3: Cross multiply
    37,657x = 78,433 × 78,433
  4. Step 4: Simplify right side
    37,657x = 6,151,735,489
  5. Step 5: Solve for x
    x = 6,151,735,489/37,657
  6. Step 6: Final answer
    x = 163,362.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.