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Finding the Third Proportional to 44,784 and 67,740

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Solution

The third proportional to 44,784 and 67,740 is: 102,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,784 : 67,740 = 67,740 : x
  2. Step 2: Convert to fraction form
    44,784/67,740 = 67,740/x
  3. Step 3: Cross multiply
    44,784x = 67,740 × 67,740
  4. Step 4: Simplify right side
    44,784x = 4,588,707,600
  5. Step 5: Solve for x
    x = 4,588,707,600/44,784
  6. Step 6: Final answer
    x = 102,463.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.