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Finding the Third Proportional to 29,929.50 and 47,000.25

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Solution

The third proportional to 29,929.50 and 47,000.25 is: 73,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,929.50 : 47,000.25 = 47,000.25 : x
  2. Step 2: Convert to fraction form
    29,929.50/47,000.25 = 47,000.25/x
  3. Step 3: Cross multiply
    29,929.50x = 47,000.25 × 47,000.25
  4. Step 4: Simplify right side
    29,929.50x = 2,209,023,500.06
  5. Step 5: Solve for x
    x = 2,209,023,500.06/29,929.50
  6. Step 6: Final answer
    x = 73,807.56

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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.