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Finding the Third Proportional to 6,428 and 13,705

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Solution

The third proportional to 6,428 and 13,705 is: 29,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428 : 13,705 = 13,705 : x
  2. Step 2: Convert to fraction form
    6,428/13,705 = 13,705/x
  3. Step 3: Cross multiply
    6,428x = 13,705 × 13,705
  4. Step 4: Simplify right side
    6,428x = 187,827,025
  5. Step 5: Solve for x
    x = 187,827,025/6,428
  6. Step 6: Final answer
    x = 29,220.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.