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Finding the Third Proportional to 25,177.50 and 58,803

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Solution

The third proportional to 25,177.50 and 58,803 is: 137,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.50 : 58,803 = 58,803 : x
  2. Step 2: Convert to fraction form
    25,177.50/58,803 = 58,803/x
  3. Step 3: Cross multiply
    25,177.50x = 58,803 × 58,803
  4. Step 4: Simplify right side
    25,177.50x = 3,457,792,809
  5. Step 5: Solve for x
    x = 3,457,792,809/25,177.50
  6. Step 6: Final answer
    x = 137,336.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.