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Finding the Third Proportional to 41,598.75 and 64,536

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Solution

The third proportional to 41,598.75 and 64,536 is: 100,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598.75 : 64,536 = 64,536 : x
  2. Step 2: Convert to fraction form
    41,598.75/64,536 = 64,536/x
  3. Step 3: Cross multiply
    41,598.75x = 64,536 × 64,536
  4. Step 4: Simplify right side
    41,598.75x = 4,164,895,296
  5. Step 5: Solve for x
    x = 4,164,895,296/41,598.75
  6. Step 6: Final answer
    x = 100,120.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.