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Finding the Third Proportional to 37,590.75 and 81,594

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Solution

The third proportional to 37,590.75 and 81,594 is: 177,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,590.75 : 81,594 = 81,594 : x
  2. Step 2: Convert to fraction form
    37,590.75/81,594 = 81,594/x
  3. Step 3: Cross multiply
    37,590.75x = 81,594 × 81,594
  4. Step 4: Simplify right side
    37,590.75x = 6,657,580,836
  5. Step 5: Solve for x
    x = 6,657,580,836/37,590.75
  6. Step 6: Final answer
    x = 177,106.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.