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Finding the Third Proportional to 13,142.50 and 28,391

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Solution

The third proportional to 13,142.50 and 28,391 is: 61,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.50 : 28,391 = 28,391 : x
  2. Step 2: Convert to fraction form
    13,142.50/28,391 = 28,391/x
  3. Step 3: Cross multiply
    13,142.50x = 28,391 × 28,391
  4. Step 4: Simplify right side
    13,142.50x = 806,048,881
  5. Step 5: Solve for x
    x = 806,048,881/13,142.50
  6. Step 6: Final answer
    x = 61,331.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.