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Finding the Third Proportional to 21,907 and 32,823.13

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Solution

The third proportional to 21,907 and 32,823.13 is: 49,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907 : 32,823.13 = 32,823.13 : x
  2. Step 2: Convert to fraction form
    21,907/32,823.13 = 32,823.13/x
  3. Step 3: Cross multiply
    21,907x = 32,823.13 × 32,823.13
  4. Step 4: Simplify right side
    21,907x = 1,077,357,534.77
  5. Step 5: Solve for x
    x = 1,077,357,534.77/21,907
  6. Step 6: Final answer
    x = 49,178.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.