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Finding the Third Proportional to 32,657.63 and 48,859.88

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Solution

The third proportional to 32,657.63 and 48,859.88 is: 73,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.63 : 48,859.88 = 48,859.88 : x
  2. Step 2: Convert to fraction form
    32,657.63/48,859.88 = 48,859.88/x
  3. Step 3: Cross multiply
    32,657.63x = 48,859.88 × 48,859.88
  4. Step 4: Simplify right side
    32,657.63x = 2,387,287,385.02
  5. Step 5: Solve for x
    x = 2,387,287,385.02/32,657.63
  6. Step 6: Final answer
    x = 73,100.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.