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Finding the Third Proportional to 9,984 and 15,678

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Solution

The third proportional to 9,984 and 15,678 is: 24,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 15,678 = 15,678 : x
  2. Step 2: Convert to fraction form
    9,984/15,678 = 15,678/x
  3. Step 3: Cross multiply
    9,984x = 15,678 × 15,678
  4. Step 4: Simplify right side
    9,984x = 245,799,684
  5. Step 5: Solve for x
    x = 245,799,684/9,984
  6. Step 6: Final answer
    x = 24,619.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.