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Finding the Third Proportional to 29,278 and 69,083

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Solution

The third proportional to 29,278 and 69,083 is: 163,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,278 : 69,083 = 69,083 : x
  2. Step 2: Convert to fraction form
    29,278/69,083 = 69,083/x
  3. Step 3: Cross multiply
    29,278x = 69,083 × 69,083
  4. Step 4: Simplify right side
    29,278x = 4,772,460,889
  5. Step 5: Solve for x
    x = 4,772,460,889/29,278
  6. Step 6: Final answer
    x = 163,005.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.