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Finding the Third Proportional to 34,634 and 53,583

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Solution

The third proportional to 34,634 and 53,583 is: 82,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634 : 53,583 = 53,583 : x
  2. Step 2: Convert to fraction form
    34,634/53,583 = 53,583/x
  3. Step 3: Cross multiply
    34,634x = 53,583 × 53,583
  4. Step 4: Simplify right side
    34,634x = 2,871,137,889
  5. Step 5: Solve for x
    x = 2,871,137,889/34,634
  6. Step 6: Final answer
    x = 82,899.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.