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Finding the Third Proportional to 20,824.59 and 44,927.16

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Solution

The third proportional to 20,824.59 and 44,927.16 is: 96,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.59 : 44,927.16 = 44,927.16 : x
  2. Step 2: Convert to fraction form
    20,824.59/44,927.16 = 44,927.16/x
  3. Step 3: Cross multiply
    20,824.59x = 44,927.16 × 44,927.16
  4. Step 4: Simplify right side
    20,824.59x = 2,018,449,368.71
  5. Step 5: Solve for x
    x = 2,018,449,368.71/20,824.59
  6. Step 6: Final answer
    x = 96,926.23

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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.