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Finding the Third Proportional to 19,140 and 25,722

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Solution

The third proportional to 19,140 and 25,722 is: 34,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,140 : 25,722 = 25,722 : x
  2. Step 2: Convert to fraction form
    19,140/25,722 = 25,722/x
  3. Step 3: Cross multiply
    19,140x = 25,722 × 25,722
  4. Step 4: Simplify right side
    19,140x = 661,621,284
  5. Step 5: Solve for x
    x = 661,621,284/19,140
  6. Step 6: Final answer
    x = 34,567.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.