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Finding the Third Proportional to 20,385 and 49,106.25

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Solution

The third proportional to 20,385 and 49,106.25 is: 118,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 49,106.25 = 49,106.25 : x
  2. Step 2: Convert to fraction form
    20,385/49,106.25 = 49,106.25/x
  3. Step 3: Cross multiply
    20,385x = 49,106.25 × 49,106.25
  4. Step 4: Simplify right side
    20,385x = 2,411,423,789.06
  5. Step 5: Solve for x
    x = 2,411,423,789.06/20,385
  6. Step 6: Final answer
    x = 118,294.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.