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Finding the Third Proportional to 25,092 and 49,549.50

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Solution

The third proportional to 25,092 and 49,549.50 is: 97,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092 : 49,549.50 = 49,549.50 : x
  2. Step 2: Convert to fraction form
    25,092/49,549.50 = 49,549.50/x
  3. Step 3: Cross multiply
    25,092x = 49,549.50 × 49,549.50
  4. Step 4: Simplify right side
    25,092x = 2,455,152,950.25
  5. Step 5: Solve for x
    x = 2,455,152,950.25/25,092
  6. Step 6: Final answer
    x = 97,846.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.