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Finding the Third Proportional to 16,349 and 25,905.50

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Solution

The third proportional to 16,349 and 25,905.50 is: 41,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349 : 25,905.50 = 25,905.50 : x
  2. Step 2: Convert to fraction form
    16,349/25,905.50 = 25,905.50/x
  3. Step 3: Cross multiply
    16,349x = 25,905.50 × 25,905.50
  4. Step 4: Simplify right side
    16,349x = 671,094,930.25
  5. Step 5: Solve for x
    x = 671,094,930.25/16,349
  6. Step 6: Final answer
    x = 41,048.07

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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.