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Finding the Third Proportional to 6,458 and 14,044

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Solution

The third proportional to 6,458 and 14,044 is: 30,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 14,044 = 14,044 : x
  2. Step 2: Convert to fraction form
    6,458/14,044 = 14,044/x
  3. Step 3: Cross multiply
    6,458x = 14,044 × 14,044
  4. Step 4: Simplify right side
    6,458x = 197,233,936
  5. Step 5: Solve for x
    x = 197,233,936/6,458
  6. Step 6: Final answer
    x = 30,541.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.