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Finding the Third Proportional to 19,784 and 46,702

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Solution

The third proportional to 19,784 and 46,702 is: 110,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 46,702 = 46,702 : x
  2. Step 2: Convert to fraction form
    19,784/46,702 = 46,702/x
  3. Step 3: Cross multiply
    19,784x = 46,702 × 46,702
  4. Step 4: Simplify right side
    19,784x = 2,181,076,804
  5. Step 5: Solve for x
    x = 2,181,076,804/19,784
  6. Step 6: Final answer
    x = 110,244.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.