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Finding the Third Proportional to 32,598.75 and 48,776.63

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Solution

The third proportional to 32,598.75 and 48,776.63 is: 72,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598.75 : 48,776.63 = 48,776.63 : x
  2. Step 2: Convert to fraction form
    32,598.75/48,776.63 = 48,776.63/x
  3. Step 3: Cross multiply
    32,598.75x = 48,776.63 × 48,776.63
  4. Step 4: Simplify right side
    32,598.75x = 2,379,159,146.39
  5. Step 5: Solve for x
    x = 2,379,159,146.39/32,598.75
  6. Step 6: Final answer
    x = 72,983.14

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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.