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Finding the Third Proportional to 16,459 and 36,043.50

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Solution

The third proportional to 16,459 and 36,043.50 is: 78,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459 : 36,043.50 = 36,043.50 : x
  2. Step 2: Convert to fraction form
    16,459/36,043.50 = 36,043.50/x
  3. Step 3: Cross multiply
    16,459x = 36,043.50 × 36,043.50
  4. Step 4: Simplify right side
    16,459x = 1,299,133,892.25
  5. Step 5: Solve for x
    x = 1,299,133,892.25/16,459
  6. Step 6: Final answer
    x = 78,931.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.