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Finding the Third Proportional to 19,597 and 27,925.50

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Solution

The third proportional to 19,597 and 27,925.50 is: 39,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597 : 27,925.50 = 27,925.50 : x
  2. Step 2: Convert to fraction form
    19,597/27,925.50 = 27,925.50/x
  3. Step 3: Cross multiply
    19,597x = 27,925.50 × 27,925.50
  4. Step 4: Simplify right side
    19,597x = 779,833,550.25
  5. Step 5: Solve for x
    x = 779,833,550.25/19,597
  6. Step 6: Final answer
    x = 39,793.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.