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Finding the Third Proportional to 30,223.50 and 46,648.50

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Solution

The third proportional to 30,223.50 and 46,648.50 is: 71,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.50 : 46,648.50 = 46,648.50 : x
  2. Step 2: Convert to fraction form
    30,223.50/46,648.50 = 46,648.50/x
  3. Step 3: Cross multiply
    30,223.50x = 46,648.50 × 46,648.50
  4. Step 4: Simplify right side
    30,223.50x = 2,176,082,552.25
  5. Step 5: Solve for x
    x = 2,176,082,552.25/30,223.50
  6. Step 6: Final answer
    x = 71,999.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.