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Finding the Third Proportional to 19,176.75 and 26,851.50

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Solution

The third proportional to 19,176.75 and 26,851.50 is: 37,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176.75 : 26,851.50 = 26,851.50 : x
  2. Step 2: Convert to fraction form
    19,176.75/26,851.50 = 26,851.50/x
  3. Step 3: Cross multiply
    19,176.75x = 26,851.50 × 26,851.50
  4. Step 4: Simplify right side
    19,176.75x = 721,003,052.25
  5. Step 5: Solve for x
    x = 721,003,052.25/19,176.75
  6. Step 6: Final answer
    x = 37,597.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.