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Finding the Third Proportional to 20,477.81 and 44,787.94

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Solution

The third proportional to 20,477.81 and 44,787.94 is: 97,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.81 : 44,787.94 = 44,787.94 : x
  2. Step 2: Convert to fraction form
    20,477.81/44,787.94 = 44,787.94/x
  3. Step 3: Cross multiply
    20,477.81x = 44,787.94 × 44,787.94
  4. Step 4: Simplify right side
    20,477.81x = 2,005,959,345.50
  5. Step 5: Solve for x
    x = 2,005,959,345.50/20,477.81
  6. Step 6: Final answer
    x = 97,957.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.