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Finding the Third Proportional to 7,029 and 14,409

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Solution

The third proportional to 7,029 and 14,409 is: 29,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029 : 14,409 = 14,409 : x
  2. Step 2: Convert to fraction form
    7,029/14,409 = 14,409/x
  3. Step 3: Cross multiply
    7,029x = 14,409 × 14,409
  4. Step 4: Simplify right side
    7,029x = 207,619,281
  5. Step 5: Solve for x
    x = 207,619,281/7,029
  6. Step 6: Final answer
    x = 29,537.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.