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Finding the Third Proportional to 34,382 and 53,205

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Solution

The third proportional to 34,382 and 53,205 is: 82,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382 : 53,205 = 53,205 : x
  2. Step 2: Convert to fraction form
    34,382/53,205 = 53,205/x
  3. Step 3: Cross multiply
    34,382x = 53,205 × 53,205
  4. Step 4: Simplify right side
    34,382x = 2,830,772,025
  5. Step 5: Solve for x
    x = 2,830,772,025/34,382
  6. Step 6: Final answer
    x = 82,332.97

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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.