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Finding the Third Proportional to 22,545 and 49,261.50

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Solution

The third proportional to 22,545 and 49,261.50 is: 107,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545 : 49,261.50 = 49,261.50 : x
  2. Step 2: Convert to fraction form
    22,545/49,261.50 = 49,261.50/x
  3. Step 3: Cross multiply
    22,545x = 49,261.50 × 49,261.50
  4. Step 4: Simplify right side
    22,545x = 2,426,695,382.25
  5. Step 5: Solve for x
    x = 2,426,695,382.25/22,545
  6. Step 6: Final answer
    x = 107,637.85

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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.