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Finding the Third Proportional to 45,877 and 67,044.50

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Solution

The third proportional to 45,877 and 67,044.50 is: 97,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877 : 67,044.50 = 67,044.50 : x
  2. Step 2: Convert to fraction form
    45,877/67,044.50 = 67,044.50/x
  3. Step 3: Cross multiply
    45,877x = 67,044.50 × 67,044.50
  4. Step 4: Simplify right side
    45,877x = 4,494,964,980.25
  5. Step 5: Solve for x
    x = 4,494,964,980.25/45,877
  6. Step 6: Final answer
    x = 97,978.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.