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Finding the Third Proportional to 21,399 and 51,548.50

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Solution

The third proportional to 21,399 and 51,548.50 is: 124,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,399 : 51,548.50 = 51,548.50 : x
  2. Step 2: Convert to fraction form
    21,399/51,548.50 = 51,548.50/x
  3. Step 3: Cross multiply
    21,399x = 51,548.50 × 51,548.50
  4. Step 4: Simplify right side
    21,399x = 2,657,247,852.25
  5. Step 5: Solve for x
    x = 2,657,247,852.25/21,399
  6. Step 6: Final answer
    x = 124,176.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.