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Finding the Third Proportional to 25,536.50 and 54,205

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Solution

The third proportional to 25,536.50 and 54,205 is: 115,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.50 : 54,205 = 54,205 : x
  2. Step 2: Convert to fraction form
    25,536.50/54,205 = 54,205/x
  3. Step 3: Cross multiply
    25,536.50x = 54,205 × 54,205
  4. Step 4: Simplify right side
    25,536.50x = 2,938,182,025
  5. Step 5: Solve for x
    x = 2,938,182,025/25,536.50
  6. Step 6: Final answer
    x = 115,058.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.