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Finding the Third Proportional to 17,510.25 and 23,591.25

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Solution

The third proportional to 17,510.25 and 23,591.25 is: 31,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.25 : 23,591.25 = 23,591.25 : x
  2. Step 2: Convert to fraction form
    17,510.25/23,591.25 = 23,591.25/x
  3. Step 3: Cross multiply
    17,510.25x = 23,591.25 × 23,591.25
  4. Step 4: Simplify right side
    17,510.25x = 556,547,076.56
  5. Step 5: Solve for x
    x = 556,547,076.56/17,510.25
  6. Step 6: Final answer
    x = 31,784.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.