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Finding the Third Proportional to 34,050 and 56,273

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Solution

The third proportional to 34,050 and 56,273 is: 93,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050 : 56,273 = 56,273 : x
  2. Step 2: Convert to fraction form
    34,050/56,273 = 56,273/x
  3. Step 3: Cross multiply
    34,050x = 56,273 × 56,273
  4. Step 4: Simplify right side
    34,050x = 3,166,650,529
  5. Step 5: Solve for x
    x = 3,166,650,529/34,050
  6. Step 6: Final answer
    x = 93,000.02

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.