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Finding the Third Proportional to 10,341 and 13,495.50

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Solution

The third proportional to 10,341 and 13,495.50 is: 17,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 13,495.50 = 13,495.50 : x
  2. Step 2: Convert to fraction form
    10,341/13,495.50 = 13,495.50/x
  3. Step 3: Cross multiply
    10,341x = 13,495.50 × 13,495.50
  4. Step 4: Simplify right side
    10,341x = 182,128,520.25
  5. Step 5: Solve for x
    x = 182,128,520.25/10,341
  6. Step 6: Final answer
    x = 17,612.27

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.