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Finding the Third Proportional to 38,516.63 and 57,515.63

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Solution

The third proportional to 38,516.63 and 57,515.63 is: 85,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516.63 : 57,515.63 = 57,515.63 : x
  2. Step 2: Convert to fraction form
    38,516.63/57,515.63 = 57,515.63/x
  3. Step 3: Cross multiply
    38,516.63x = 57,515.63 × 57,515.63
  4. Step 4: Simplify right side
    38,516.63x = 3,308,047,119.14
  5. Step 5: Solve for x
    x = 3,308,047,119.14/38,516.63
  6. Step 6: Final answer
    x = 85,886.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.