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Finding the Third Proportional to 45,693 and 68,539.50

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Solution

The third proportional to 45,693 and 68,539.50 is: 102,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,693 : 68,539.50 = 68,539.50 : x
  2. Step 2: Convert to fraction form
    45,693/68,539.50 = 68,539.50/x
  3. Step 3: Cross multiply
    45,693x = 68,539.50 × 68,539.50
  4. Step 4: Simplify right side
    45,693x = 4,697,663,060.25
  5. Step 5: Solve for x
    x = 4,697,663,060.25/45,693
  6. Step 6: Final answer
    x = 102,809.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.