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Finding the Third Proportional to 14,151.50 and 22,390

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Solution

The third proportional to 14,151.50 and 22,390 is: 35,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.50 : 22,390 = 22,390 : x
  2. Step 2: Convert to fraction form
    14,151.50/22,390 = 22,390/x
  3. Step 3: Cross multiply
    14,151.50x = 22,390 × 22,390
  4. Step 4: Simplify right side
    14,151.50x = 501,312,100
  5. Step 5: Solve for x
    x = 501,312,100/14,151.50
  6. Step 6: Final answer
    x = 35,424.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.