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Finding the Third Proportional to 19,752 and 44,148

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Solution

The third proportional to 19,752 and 44,148 is: 98,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 44,148 = 44,148 : x
  2. Step 2: Convert to fraction form
    19,752/44,148 = 44,148/x
  3. Step 3: Cross multiply
    19,752x = 44,148 × 44,148
  4. Step 4: Simplify right side
    19,752x = 1,949,045,904
  5. Step 5: Solve for x
    x = 1,949,045,904/19,752
  6. Step 6: Final answer
    x = 98,675.88

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.