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Finding the Third Proportional to 34,410 and 72,955

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Solution

The third proportional to 34,410 and 72,955 is: 154,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410 : 72,955 = 72,955 : x
  2. Step 2: Convert to fraction form
    34,410/72,955 = 72,955/x
  3. Step 3: Cross multiply
    34,410x = 72,955 × 72,955
  4. Step 4: Simplify right side
    34,410x = 5,322,432,025
  5. Step 5: Solve for x
    x = 5,322,432,025/34,410
  6. Step 6: Final answer
    x = 154,676.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.