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Finding the Third Proportional to 34,955 and 55,599

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Solution

The third proportional to 34,955 and 55,599 is: 88,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,955 : 55,599 = 55,599 : x
  2. Step 2: Convert to fraction form
    34,955/55,599 = 55,599/x
  3. Step 3: Cross multiply
    34,955x = 55,599 × 55,599
  4. Step 4: Simplify right side
    34,955x = 3,091,248,801
  5. Step 5: Solve for x
    x = 3,091,248,801/34,955
  6. Step 6: Final answer
    x = 88,435.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.