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Finding the Third Proportional to 32,807.63 and 50,897.44

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Solution

The third proportional to 32,807.63 and 50,897.44 is: 78,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.63 : 50,897.44 = 50,897.44 : x
  2. Step 2: Convert to fraction form
    32,807.63/50,897.44 = 50,897.44/x
  3. Step 3: Cross multiply
    32,807.63x = 50,897.44 × 50,897.44
  4. Step 4: Simplify right side
    32,807.63x = 2,590,549,144.07
  5. Step 5: Solve for x
    x = 2,590,549,144.07/32,807.63
  6. Step 6: Final answer
    x = 78,961.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.