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Finding the Third Proportional to 31,784 and 46,702

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Solution

The third proportional to 31,784 and 46,702 is: 68,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784 : 46,702 = 46,702 : x
  2. Step 2: Convert to fraction form
    31,784/46,702 = 46,702/x
  3. Step 3: Cross multiply
    31,784x = 46,702 × 46,702
  4. Step 4: Simplify right side
    31,784x = 2,181,076,804
  5. Step 5: Solve for x
    x = 2,181,076,804/31,784
  6. Step 6: Final answer
    x = 68,621.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.