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Finding the Third Proportional to 34,263 and 46,677.94

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Solution

The third proportional to 34,263 and 46,677.94 is: 63,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,263 : 46,677.94 = 46,677.94 : x
  2. Step 2: Convert to fraction form
    34,263/46,677.94 = 46,677.94/x
  3. Step 3: Cross multiply
    34,263x = 46,677.94 × 46,677.94
  4. Step 4: Simplify right side
    34,263x = 2,178,829,849.25
  5. Step 5: Solve for x
    x = 2,178,829,849.25/34,263
  6. Step 6: Final answer
    x = 63,591.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.