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Finding the Third Proportional to 32,044 and 47,800.50

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Solution

The third proportional to 32,044 and 47,800.50 is: 71,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044 : 47,800.50 = 47,800.50 : x
  2. Step 2: Convert to fraction form
    32,044/47,800.50 = 47,800.50/x
  3. Step 3: Cross multiply
    32,044x = 47,800.50 × 47,800.50
  4. Step 4: Simplify right side
    32,044x = 2,284,887,800.25
  5. Step 5: Solve for x
    x = 2,284,887,800.25/32,044
  6. Step 6: Final answer
    x = 71,304.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.