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Finding the Third Proportional to 17,527.50 and 21,271.50

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Solution

The third proportional to 17,527.50 and 21,271.50 is: 25,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.50 : 21,271.50 = 21,271.50 : x
  2. Step 2: Convert to fraction form
    17,527.50/21,271.50 = 21,271.50/x
  3. Step 3: Cross multiply
    17,527.50x = 21,271.50 × 21,271.50
  4. Step 4: Simplify right side
    17,527.50x = 452,476,712.25
  5. Step 5: Solve for x
    x = 452,476,712.25/17,527.50
  6. Step 6: Final answer
    x = 25,815.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.