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Finding the Third Proportional to 19,130 and 25,657

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Solution

The third proportional to 19,130 and 25,657 is: 34,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130 : 25,657 = 25,657 : x
  2. Step 2: Convert to fraction form
    19,130/25,657 = 25,657/x
  3. Step 3: Cross multiply
    19,130x = 25,657 × 25,657
  4. Step 4: Simplify right side
    19,130x = 658,281,649
  5. Step 5: Solve for x
    x = 658,281,649/19,130
  6. Step 6: Final answer
    x = 34,410.96

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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.