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Finding the Third Proportional to 16,848 and 25,783.31

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Solution

The third proportional to 16,848 and 25,783.31 is: 39,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848 : 25,783.31 = 25,783.31 : x
  2. Step 2: Convert to fraction form
    16,848/25,783.31 = 25,783.31/x
  3. Step 3: Cross multiply
    16,848x = 25,783.31 × 25,783.31
  4. Step 4: Simplify right side
    16,848x = 664,779,203.47
  5. Step 5: Solve for x
    x = 664,779,203.47/16,848
  6. Step 6: Final answer
    x = 39,457.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.