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Finding the Third Proportional to 34,857 and 52,365

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Solution

The third proportional to 34,857 and 52,365 is: 78,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857 : 52,365 = 52,365 : x
  2. Step 2: Convert to fraction form
    34,857/52,365 = 52,365/x
  3. Step 3: Cross multiply
    34,857x = 52,365 × 52,365
  4. Step 4: Simplify right side
    34,857x = 2,742,093,225
  5. Step 5: Solve for x
    x = 2,742,093,225/34,857
  6. Step 6: Final answer
    x = 78,666.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.