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Finding the Third Proportional to 1,547 and 2,746

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Solution

The third proportional to 1,547 and 2,746 is: 4,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547 : 2,746 = 2,746 : x
  2. Step 2: Convert to fraction form
    1,547/2,746 = 2,746/x
  3. Step 3: Cross multiply
    1,547x = 2,746 × 2,746
  4. Step 4: Simplify right side
    1,547x = 7,540,516
  5. Step 5: Solve for x
    x = 7,540,516/1,547
  6. Step 6: Final answer
    x = 4,874.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.