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Finding the Third Proportional to 21,700 and 31,692

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Solution

The third proportional to 21,700 and 31,692 is: 46,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700 : 31,692 = 31,692 : x
  2. Step 2: Convert to fraction form
    21,700/31,692 = 31,692/x
  3. Step 3: Cross multiply
    21,700x = 31,692 × 31,692
  4. Step 4: Simplify right side
    21,700x = 1,004,382,864
  5. Step 5: Solve for x
    x = 1,004,382,864/21,700
  6. Step 6: Final answer
    x = 46,284.92

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Why These Related Problems?

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