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Finding the Third Proportional to 19,722 and 29,004

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Solution

The third proportional to 19,722 and 29,004 is: 42,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722 : 29,004 = 29,004 : x
  2. Step 2: Convert to fraction form
    19,722/29,004 = 29,004/x
  3. Step 3: Cross multiply
    19,722x = 29,004 × 29,004
  4. Step 4: Simplify right side
    19,722x = 841,232,016
  5. Step 5: Solve for x
    x = 841,232,016/19,722
  6. Step 6: Final answer
    x = 42,654.50

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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.