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Finding the Third Proportional to 21,524.06 and 46,506.66

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Solution

The third proportional to 21,524.06 and 46,506.66 is: 100,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.06 : 46,506.66 = 46,506.66 : x
  2. Step 2: Convert to fraction form
    21,524.06/46,506.66 = 46,506.66/x
  3. Step 3: Cross multiply
    21,524.06x = 46,506.66 × 46,506.66
  4. Step 4: Simplify right side
    21,524.06x = 2,162,869,075.56
  5. Step 5: Solve for x
    x = 2,162,869,075.56/21,524.06
  6. Step 6: Final answer
    x = 100,486.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.