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Finding the Third Proportional to 30,658.50 and 46,878.75

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Solution

The third proportional to 30,658.50 and 46,878.75 is: 71,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 46,878.75 = 46,878.75 : x
  2. Step 2: Convert to fraction form
    30,658.50/46,878.75 = 46,878.75/x
  3. Step 3: Cross multiply
    30,658.50x = 46,878.75 × 46,878.75
  4. Step 4: Simplify right side
    30,658.50x = 2,197,617,201.56
  5. Step 5: Solve for x
    x = 2,197,617,201.56/30,658.50
  6. Step 6: Final answer
    x = 71,680.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.