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Finding the Third Proportional to 16,470 and 39,808.13

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Solution

The third proportional to 16,470 and 39,808.13 is: 96,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 39,808.13 = 39,808.13 : x
  2. Step 2: Convert to fraction form
    16,470/39,808.13 = 39,808.13/x
  3. Step 3: Cross multiply
    16,470x = 39,808.13 × 39,808.13
  4. Step 4: Simplify right side
    16,470x = 1,584,686,816.02
  5. Step 5: Solve for x
    x = 1,584,686,816.02/16,470
  6. Step 6: Final answer
    x = 96,216.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.