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Finding the Third Proportional to 34,706 and 53,787

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Solution

The third proportional to 34,706 and 53,787 is: 83,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706 : 53,787 = 53,787 : x
  2. Step 2: Convert to fraction form
    34,706/53,787 = 53,787/x
  3. Step 3: Cross multiply
    34,706x = 53,787 × 53,787
  4. Step 4: Simplify right side
    34,706x = 2,893,041,369
  5. Step 5: Solve for x
    x = 2,893,041,369/34,706
  6. Step 6: Final answer
    x = 83,358.54

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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.