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Finding the Third Proportional to 22,657.50 and 49,527

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Solution

The third proportional to 22,657.50 and 49,527 is: 108,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.50 : 49,527 = 49,527 : x
  2. Step 2: Convert to fraction form
    22,657.50/49,527 = 49,527/x
  3. Step 3: Cross multiply
    22,657.50x = 49,527 × 49,527
  4. Step 4: Simplify right side
    22,657.50x = 2,452,923,729
  5. Step 5: Solve for x
    x = 2,452,923,729/22,657.50
  6. Step 6: Final answer
    x = 108,261.01

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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.