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Finding the Third Proportional to 34,239 and 56,596.50

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Solution

The third proportional to 34,239 and 56,596.50 is: 93,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239 : 56,596.50 = 56,596.50 : x
  2. Step 2: Convert to fraction form
    34,239/56,596.50 = 56,596.50/x
  3. Step 3: Cross multiply
    34,239x = 56,596.50 × 56,596.50
  4. Step 4: Simplify right side
    34,239x = 3,203,163,812.25
  5. Step 5: Solve for x
    x = 3,203,163,812.25/34,239
  6. Step 6: Final answer
    x = 93,553.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.