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Finding the Third Proportional to 9,742 and 14,854

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Solution

The third proportional to 9,742 and 14,854 is: 22,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 14,854 = 14,854 : x
  2. Step 2: Convert to fraction form
    9,742/14,854 = 14,854/x
  3. Step 3: Cross multiply
    9,742x = 14,854 × 14,854
  4. Step 4: Simplify right side
    9,742x = 220,641,316
  5. Step 5: Solve for x
    x = 220,641,316/9,742
  6. Step 6: Final answer
    x = 22,648.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.