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Finding the Third Proportional to 38,425 and 58,803.50

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Solution

The third proportional to 38,425 and 58,803.50 is: 89,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425 : 58,803.50 = 58,803.50 : x
  2. Step 2: Convert to fraction form
    38,425/58,803.50 = 58,803.50/x
  3. Step 3: Cross multiply
    38,425x = 58,803.50 × 58,803.50
  4. Step 4: Simplify right side
    38,425x = 3,457,851,612.25
  5. Step 5: Solve for x
    x = 3,457,851,612.25/38,425
  6. Step 6: Final answer
    x = 89,989.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.