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Finding the Third Proportional to 30,123 and 46,813.50

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Solution

The third proportional to 30,123 and 46,813.50 is: 72,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123 : 46,813.50 = 46,813.50 : x
  2. Step 2: Convert to fraction form
    30,123/46,813.50 = 46,813.50/x
  3. Step 3: Cross multiply
    30,123x = 46,813.50 × 46,813.50
  4. Step 4: Simplify right side
    30,123x = 2,191,503,782.25
  5. Step 5: Solve for x
    x = 2,191,503,782.25/30,123
  6. Step 6: Final answer
    x = 72,751.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.