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Finding the Third Proportional to 19,549 and 46,102.50

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Solution

The third proportional to 19,549 and 46,102.50 is: 108,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549 : 46,102.50 = 46,102.50 : x
  2. Step 2: Convert to fraction form
    19,549/46,102.50 = 46,102.50/x
  3. Step 3: Cross multiply
    19,549x = 46,102.50 × 46,102.50
  4. Step 4: Simplify right side
    19,549x = 2,125,440,506.25
  5. Step 5: Solve for x
    x = 2,125,440,506.25/19,549
  6. Step 6: Final answer
    x = 108,723.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.