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Finding the Third Proportional to 6,044 and 12,547

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Solution

The third proportional to 6,044 and 12,547 is: 26,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044 : 12,547 = 12,547 : x
  2. Step 2: Convert to fraction form
    6,044/12,547 = 12,547/x
  3. Step 3: Cross multiply
    6,044x = 12,547 × 12,547
  4. Step 4: Simplify right side
    6,044x = 157,427,209
  5. Step 5: Solve for x
    x = 157,427,209/6,044
  6. Step 6: Final answer
    x = 26,046.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.