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Finding the Third Proportional to 15,700 and 22,004

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Solution

The third proportional to 15,700 and 22,004 is: 30,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 22,004 = 22,004 : x
  2. Step 2: Convert to fraction form
    15,700/22,004 = 22,004/x
  3. Step 3: Cross multiply
    15,700x = 22,004 × 22,004
  4. Step 4: Simplify right side
    15,700x = 484,176,016
  5. Step 5: Solve for x
    x = 484,176,016/15,700
  6. Step 6: Final answer
    x = 30,839.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.