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Finding the Third Proportional to 46,977 and 62,625.50

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Solution

The third proportional to 46,977 and 62,625.50 is: 83,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977 : 62,625.50 = 62,625.50 : x
  2. Step 2: Convert to fraction form
    46,977/62,625.50 = 62,625.50/x
  3. Step 3: Cross multiply
    46,977x = 62,625.50 × 62,625.50
  4. Step 4: Simplify right side
    46,977x = 3,921,953,250.25
  5. Step 5: Solve for x
    x = 3,921,953,250.25/46,977
  6. Step 6: Final answer
    x = 83,486.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.