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Finding the Third Proportional to 36,252 and 55,461

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Solution

The third proportional to 36,252 and 55,461 is: 84,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,252 : 55,461 = 55,461 : x
  2. Step 2: Convert to fraction form
    36,252/55,461 = 55,461/x
  3. Step 3: Cross multiply
    36,252x = 55,461 × 55,461
  4. Step 4: Simplify right side
    36,252x = 3,075,922,521
  5. Step 5: Solve for x
    x = 3,075,922,521/36,252
  6. Step 6: Final answer
    x = 84,848.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.