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Finding the Third Proportional to 11,607.75 and 17,411.50

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Solution

The third proportional to 11,607.75 and 17,411.50 is: 26,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.75 : 17,411.50 = 17,411.50 : x
  2. Step 2: Convert to fraction form
    11,607.75/17,411.50 = 17,411.50/x
  3. Step 3: Cross multiply
    11,607.75x = 17,411.50 × 17,411.50
  4. Step 4: Simplify right side
    11,607.75x = 303,160,332.25
  5. Step 5: Solve for x
    x = 303,160,332.25/11,607.75
  6. Step 6: Final answer
    x = 26,117.06

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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.