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Finding the Third Proportional to 35,989 and 78,889

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Solution

The third proportional to 35,989 and 78,889 is: 172,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989 : 78,889 = 78,889 : x
  2. Step 2: Convert to fraction form
    35,989/78,889 = 78,889/x
  3. Step 3: Cross multiply
    35,989x = 78,889 × 78,889
  4. Step 4: Simplify right side
    35,989x = 6,223,474,321
  5. Step 5: Solve for x
    x = 6,223,474,321/35,989
  6. Step 6: Final answer
    x = 172,927.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.