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Finding the Third Proportional to 10,459.44 and 16,150.48

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Solution

The third proportional to 10,459.44 and 16,150.48 is: 24,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.44 : 16,150.48 = 16,150.48 : x
  2. Step 2: Convert to fraction form
    10,459.44/16,150.48 = 16,150.48/x
  3. Step 3: Cross multiply
    10,459.44x = 16,150.48 × 16,150.48
  4. Step 4: Simplify right side
    10,459.44x = 260,838,082.46
  5. Step 5: Solve for x
    x = 260,838,082.46/10,459.44
  6. Step 6: Final answer
    x = 24,938.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.