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Finding the Third Proportional to 11,475 and 24,536.25

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Solution

The third proportional to 11,475 and 24,536.25 is: 52,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475 : 24,536.25 = 24,536.25 : x
  2. Step 2: Convert to fraction form
    11,475/24,536.25 = 24,536.25/x
  3. Step 3: Cross multiply
    11,475x = 24,536.25 × 24,536.25
  4. Step 4: Simplify right side
    11,475x = 602,027,564.06
  5. Step 5: Solve for x
    x = 602,027,564.06/11,475
  6. Step 6: Final answer
    x = 52,464.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.