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Finding the Third Proportional to 45,270 and 66,516.75

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Solution

The third proportional to 45,270 and 66,516.75 is: 97,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,270 : 66,516.75 = 66,516.75 : x
  2. Step 2: Convert to fraction form
    45,270/66,516.75 = 66,516.75/x
  3. Step 3: Cross multiply
    45,270x = 66,516.75 × 66,516.75
  4. Step 4: Simplify right side
    45,270x = 4,424,478,030.56
  5. Step 5: Solve for x
    x = 4,424,478,030.56/45,270
  6. Step 6: Final answer
    x = 97,735.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.