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Finding the Third Proportional to 3,570 and 7,854

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Solution

The third proportional to 3,570 and 7,854 is: 17,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570 : 7,854 = 7,854 : x
  2. Step 2: Convert to fraction form
    3,570/7,854 = 7,854/x
  3. Step 3: Cross multiply
    3,570x = 7,854 × 7,854
  4. Step 4: Simplify right side
    3,570x = 61,685,316
  5. Step 5: Solve for x
    x = 61,685,316/3,570
  6. Step 6: Final answer
    x = 17,278.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.