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Finding the Third Proportional to 40,784 and 62,706

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Solution

The third proportional to 40,784 and 62,706 is: 96,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,784 : 62,706 = 62,706 : x
  2. Step 2: Convert to fraction form
    40,784/62,706 = 62,706/x
  3. Step 3: Cross multiply
    40,784x = 62,706 × 62,706
  4. Step 4: Simplify right side
    40,784x = 3,932,042,436
  5. Step 5: Solve for x
    x = 3,932,042,436/40,784
  6. Step 6: Final answer
    x = 96,411.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.