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Finding the Third Proportional to 16,459.45 and 23,937.40

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Solution

The third proportional to 16,459.45 and 23,937.40 is: 34,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.45 : 23,937.40 = 23,937.40 : x
  2. Step 2: Convert to fraction form
    16,459.45/23,937.40 = 23,937.40/x
  3. Step 3: Cross multiply
    16,459.45x = 23,937.40 × 23,937.40
  4. Step 4: Simplify right side
    16,459.45x = 572,999,043.96
  5. Step 5: Solve for x
    x = 572,999,043.96/16,459.45
  6. Step 6: Final answer
    x = 34,812.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.