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Finding the Third Proportional to 19,612.13 and 32,106.38

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Solution

The third proportional to 19,612.13 and 32,106.38 is: 52,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.13 : 32,106.38 = 32,106.38 : x
  2. Step 2: Convert to fraction form
    19,612.13/32,106.38 = 32,106.38/x
  3. Step 3: Cross multiply
    19,612.13x = 32,106.38 × 32,106.38
  4. Step 4: Simplify right side
    19,612.13x = 1,030,819,315.64
  5. Step 5: Solve for x
    x = 1,030,819,315.64/19,612.13
  6. Step 6: Final answer
    x = 52,560.31

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.