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Finding the Third Proportional to 17,411.50 and 26,525.50

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Solution

The third proportional to 17,411.50 and 26,525.50 is: 40,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.50 : 26,525.50 = 26,525.50 : x
  2. Step 2: Convert to fraction form
    17,411.50/26,525.50 = 26,525.50/x
  3. Step 3: Cross multiply
    17,411.50x = 26,525.50 × 26,525.50
  4. Step 4: Simplify right side
    17,411.50x = 703,602,150.25
  5. Step 5: Solve for x
    x = 703,602,150.25/17,411.50
  6. Step 6: Final answer
    x = 40,410.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.