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Finding the Third Proportional to 41,419.50 and 63,564

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Solution

The third proportional to 41,419.50 and 63,564 is: 97,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,419.50 : 63,564 = 63,564 : x
  2. Step 2: Convert to fraction form
    41,419.50/63,564 = 63,564/x
  3. Step 3: Cross multiply
    41,419.50x = 63,564 × 63,564
  4. Step 4: Simplify right side
    41,419.50x = 4,040,382,096
  5. Step 5: Solve for x
    x = 4,040,382,096/41,419.50
  6. Step 6: Final answer
    x = 97,547.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.