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Finding the Third Proportional to 32,448 and 47,904

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Solution

The third proportional to 32,448 and 47,904 is: 70,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448 : 47,904 = 47,904 : x
  2. Step 2: Convert to fraction form
    32,448/47,904 = 47,904/x
  3. Step 3: Cross multiply
    32,448x = 47,904 × 47,904
  4. Step 4: Simplify right side
    32,448x = 2,294,793,216
  5. Step 5: Solve for x
    x = 2,294,793,216/32,448
  6. Step 6: Final answer
    x = 70,722.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.