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Finding the Third Proportional to 9,384 and 24,648

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Solution

The third proportional to 9,384 and 24,648 is: 64,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 24,648 = 24,648 : x
  2. Step 2: Convert to fraction form
    9,384/24,648 = 24,648/x
  3. Step 3: Cross multiply
    9,384x = 24,648 × 24,648
  4. Step 4: Simplify right side
    9,384x = 607,523,904
  5. Step 5: Solve for x
    x = 607,523,904/9,384
  6. Step 6: Final answer
    x = 64,740.40

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.