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Finding the Third Proportional to 32,459.63 and 48,559.88

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Solution

The third proportional to 32,459.63 and 48,559.88 is: 72,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.63 : 48,559.88 = 48,559.88 : x
  2. Step 2: Convert to fraction form
    32,459.63/48,559.88 = 48,559.88/x
  3. Step 3: Cross multiply
    32,459.63x = 48,559.88 × 48,559.88
  4. Step 4: Simplify right side
    32,459.63x = 2,358,061,460.02
  5. Step 5: Solve for x
    x = 2,358,061,460.02/32,459.63
  6. Step 6: Final answer
    x = 72,645.99

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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.