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Finding the Third Proportional to 19,604 and 25,716

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Solution

The third proportional to 19,604 and 25,716 is: 33,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604 : 25,716 = 25,716 : x
  2. Step 2: Convert to fraction form
    19,604/25,716 = 25,716/x
  3. Step 3: Cross multiply
    19,604x = 25,716 × 25,716
  4. Step 4: Simplify right side
    19,604x = 661,312,656
  5. Step 5: Solve for x
    x = 661,312,656/19,604
  6. Step 6: Final answer
    x = 33,733.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.