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Finding the Third Proportional to 6,029 and 12,445

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Solution

The third proportional to 6,029 and 12,445 is: 25,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029 : 12,445 = 12,445 : x
  2. Step 2: Convert to fraction form
    6,029/12,445 = 12,445/x
  3. Step 3: Cross multiply
    6,029x = 12,445 × 12,445
  4. Step 4: Simplify right side
    6,029x = 154,878,025
  5. Step 5: Solve for x
    x = 154,878,025/6,029
  6. Step 6: Final answer
    x = 25,688.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.