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Finding the Third Proportional to 34,562 and 74,038

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Solution

The third proportional to 34,562 and 74,038 is: 158,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,562 : 74,038 = 74,038 : x
  2. Step 2: Convert to fraction form
    34,562/74,038 = 74,038/x
  3. Step 3: Cross multiply
    34,562x = 74,038 × 74,038
  4. Step 4: Simplify right side
    34,562x = 5,481,625,444
  5. Step 5: Solve for x
    x = 5,481,625,444/34,562
  6. Step 6: Final answer
    x = 158,602.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.