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Finding the Third Proportional to 29,090 and 58,972

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Solution

The third proportional to 29,090 and 58,972 is: 119,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,090 : 58,972 = 58,972 : x
  2. Step 2: Convert to fraction form
    29,090/58,972 = 58,972/x
  3. Step 3: Cross multiply
    29,090x = 58,972 × 58,972
  4. Step 4: Simplify right side
    29,090x = 3,477,696,784
  5. Step 5: Solve for x
    x = 3,477,696,784/29,090
  6. Step 6: Final answer
    x = 119,549.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.