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Finding the Third Proportional to 16,470 and 25,035

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Solution

The third proportional to 16,470 and 25,035 is: 38,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 25,035 = 25,035 : x
  2. Step 2: Convert to fraction form
    16,470/25,035 = 25,035/x
  3. Step 3: Cross multiply
    16,470x = 25,035 × 25,035
  4. Step 4: Simplify right side
    16,470x = 626,751,225
  5. Step 5: Solve for x
    x = 626,751,225/16,470
  6. Step 6: Final answer
    x = 38,054.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.