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Finding the Third Proportional to 14,157.75 and 21,271.50

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Solution

The third proportional to 14,157.75 and 21,271.50 is: 31,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.75 : 21,271.50 = 21,271.50 : x
  2. Step 2: Convert to fraction form
    14,157.75/21,271.50 = 21,271.50/x
  3. Step 3: Cross multiply
    14,157.75x = 21,271.50 × 21,271.50
  4. Step 4: Simplify right side
    14,157.75x = 452,476,712.25
  5. Step 5: Solve for x
    x = 452,476,712.25/14,157.75
  6. Step 6: Final answer
    x = 31,959.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.