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Finding the Third Proportional to 28,944 and 63,072

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Solution

The third proportional to 28,944 and 63,072 is: 137,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,944 : 63,072 = 63,072 : x
  2. Step 2: Convert to fraction form
    28,944/63,072 = 63,072/x
  3. Step 3: Cross multiply
    28,944x = 63,072 × 63,072
  4. Step 4: Simplify right side
    28,944x = 3,978,077,184
  5. Step 5: Solve for x
    x = 3,978,077,184/28,944
  6. Step 6: Final answer
    x = 137,440.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.