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Finding the Third Proportional to 28,976 and 63,054

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Solution

The third proportional to 28,976 and 63,054 is: 137,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,976 : 63,054 = 63,054 : x
  2. Step 2: Convert to fraction form
    28,976/63,054 = 63,054/x
  3. Step 3: Cross multiply
    28,976x = 63,054 × 63,054
  4. Step 4: Simplify right side
    28,976x = 3,975,806,916
  5. Step 5: Solve for x
    x = 3,975,806,916/28,976
  6. Step 6: Final answer
    x = 137,210.34

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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.