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Finding the Third Proportional to 51,211.50 and 74,565

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Solution

The third proportional to 51,211.50 and 74,565 is: 108,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,211.50 : 74,565 = 74,565 : x
  2. Step 2: Convert to fraction form
    51,211.50/74,565 = 74,565/x
  3. Step 3: Cross multiply
    51,211.50x = 74,565 × 74,565
  4. Step 4: Simplify right side
    51,211.50x = 5,559,939,225
  5. Step 5: Solve for x
    x = 5,559,939,225/51,211.50
  6. Step 6: Final answer
    x = 108,568.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.