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Finding the Third Proportional to 28,102.50 and 58,803

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Solution

The third proportional to 28,102.50 and 58,803 is: 123,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.50 : 58,803 = 58,803 : x
  2. Step 2: Convert to fraction form
    28,102.50/58,803 = 58,803/x
  3. Step 3: Cross multiply
    28,102.50x = 58,803 × 58,803
  4. Step 4: Simplify right side
    28,102.50x = 3,457,792,809
  5. Step 5: Solve for x
    x = 3,457,792,809/28,102.50
  6. Step 6: Final answer
    x = 123,042.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.