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Finding the Third Proportional to 30,501 and 47,803.50

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Solution

The third proportional to 30,501 and 47,803.50 is: 74,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 47,803.50 = 47,803.50 : x
  2. Step 2: Convert to fraction form
    30,501/47,803.50 = 47,803.50/x
  3. Step 3: Cross multiply
    30,501x = 47,803.50 × 47,803.50
  4. Step 4: Simplify right side
    30,501x = 2,285,174,612.25
  5. Step 5: Solve for x
    x = 2,285,174,612.25/30,501
  6. Step 6: Final answer
    x = 74,921.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.