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Finding the Third Proportional to 32,963.63 and 48,829.50

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Solution

The third proportional to 32,963.63 and 48,829.50 is: 72,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.63 : 48,829.50 = 48,829.50 : x
  2. Step 2: Convert to fraction form
    32,963.63/48,829.50 = 48,829.50/x
  3. Step 3: Cross multiply
    32,963.63x = 48,829.50 × 48,829.50
  4. Step 4: Simplify right side
    32,963.63x = 2,384,320,070.25
  5. Step 5: Solve for x
    x = 2,384,320,070.25/32,963.63
  6. Step 6: Final answer
    x = 72,331.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.