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Finding the Third Proportional to 34,164 and 47,773

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Solution

The third proportional to 34,164 and 47,773 is: 66,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164 : 47,773 = 47,773 : x
  2. Step 2: Convert to fraction form
    34,164/47,773 = 47,773/x
  3. Step 3: Cross multiply
    34,164x = 47,773 × 47,773
  4. Step 4: Simplify right side
    34,164x = 2,282,259,529
  5. Step 5: Solve for x
    x = 2,282,259,529/34,164
  6. Step 6: Final answer
    x = 66,803.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.