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Finding the Third Proportional to 1,190 and 2,547

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Solution

The third proportional to 1,190 and 2,547 is: 5,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190 : 2,547 = 2,547 : x
  2. Step 2: Convert to fraction form
    1,190/2,547 = 2,547/x
  3. Step 3: Cross multiply
    1,190x = 2,547 × 2,547
  4. Step 4: Simplify right side
    1,190x = 6,487,209
  5. Step 5: Solve for x
    x = 6,487,209/1,190
  6. Step 6: Final answer
    x = 5,451.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.