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Finding the Third Proportional to 34,380 and 53,202

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Solution

The third proportional to 34,380 and 53,202 is: 82,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380 : 53,202 = 53,202 : x
  2. Step 2: Convert to fraction form
    34,380/53,202 = 53,202/x
  3. Step 3: Cross multiply
    34,380x = 53,202 × 53,202
  4. Step 4: Simplify right side
    34,380x = 2,830,452,804
  5. Step 5: Solve for x
    x = 2,830,452,804/34,380
  6. Step 6: Final answer
    x = 82,328.47

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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.