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Finding the Third Proportional to 29,057 and 46,088

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Solution

The third proportional to 29,057 and 46,088 is: 73,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057 : 46,088 = 46,088 : x
  2. Step 2: Convert to fraction form
    29,057/46,088 = 46,088/x
  3. Step 3: Cross multiply
    29,057x = 46,088 × 46,088
  4. Step 4: Simplify right side
    29,057x = 2,124,103,744
  5. Step 5: Solve for x
    x = 2,124,103,744/29,057
  6. Step 6: Final answer
    x = 73,101.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.