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Finding the Third Proportional to 15,259.50 and 21,456

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Solution

The third proportional to 15,259.50 and 21,456 is: 30,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,259.50 : 21,456 = 21,456 : x
  2. Step 2: Convert to fraction form
    15,259.50/21,456 = 21,456/x
  3. Step 3: Cross multiply
    15,259.50x = 21,456 × 21,456
  4. Step 4: Simplify right side
    15,259.50x = 460,359,936
  5. Step 5: Solve for x
    x = 460,359,936/15,259.50
  6. Step 6: Final answer
    x = 30,168.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.