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Finding the Third Proportional to 34,767 and 74,457

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Solution

The third proportional to 34,767 and 74,457 is: 159,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767 : 74,457 = 74,457 : x
  2. Step 2: Convert to fraction form
    34,767/74,457 = 74,457/x
  3. Step 3: Cross multiply
    34,767x = 74,457 × 74,457
  4. Step 4: Simplify right side
    34,767x = 5,543,844,849
  5. Step 5: Solve for x
    x = 5,543,844,849/34,767
  6. Step 6: Final answer
    x = 159,457.10

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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.