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Finding the Third Proportional to 32,459.01 and 48,558.77

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Solution

The third proportional to 32,459.01 and 48,558.77 is: 72,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.01 : 48,558.77 = 48,558.77 : x
  2. Step 2: Convert to fraction form
    32,459.01/48,558.77 = 48,558.77/x
  3. Step 3: Cross multiply
    32,459.01x = 48,558.77 × 48,558.77
  4. Step 4: Simplify right side
    32,459.01x = 2,357,953,979.84
  5. Step 5: Solve for x
    x = 2,357,953,979.84/32,459.01
  6. Step 6: Final answer
    x = 72,644.05

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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.