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Finding the Third Proportional to 9,574 and 22,475

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Solution

The third proportional to 9,574 and 22,475 is: 52,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574 : 22,475 = 22,475 : x
  2. Step 2: Convert to fraction form
    9,574/22,475 = 22,475/x
  3. Step 3: Cross multiply
    9,574x = 22,475 × 22,475
  4. Step 4: Simplify right side
    9,574x = 505,125,625
  5. Step 5: Solve for x
    x = 505,125,625/9,574
  6. Step 6: Final answer
    x = 52,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.