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Finding the Third Proportional to 19,556 and 32,104

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Solution

The third proportional to 19,556 and 32,104 is: 52,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556 : 32,104 = 32,104 : x
  2. Step 2: Convert to fraction form
    19,556/32,104 = 32,104/x
  3. Step 3: Cross multiply
    19,556x = 32,104 × 32,104
  4. Step 4: Simplify right side
    19,556x = 1,030,666,816
  5. Step 5: Solve for x
    x = 1,030,666,816/19,556
  6. Step 6: Final answer
    x = 52,703.36

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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.