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Finding the Third Proportional to 7,674 and 15,780

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Solution

The third proportional to 7,674 and 15,780 is: 32,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 15,780 = 15,780 : x
  2. Step 2: Convert to fraction form
    7,674/15,780 = 15,780/x
  3. Step 3: Cross multiply
    7,674x = 15,780 × 15,780
  4. Step 4: Simplify right side
    7,674x = 249,008,400
  5. Step 5: Solve for x
    x = 249,008,400/7,674
  6. Step 6: Final answer
    x = 32,448.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.