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Finding the Third Proportional to 34,370 and 51,646

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Solution

The third proportional to 34,370 and 51,646 is: 77,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,370 : 51,646 = 51,646 : x
  2. Step 2: Convert to fraction form
    34,370/51,646 = 51,646/x
  3. Step 3: Cross multiply
    34,370x = 51,646 × 51,646
  4. Step 4: Simplify right side
    34,370x = 2,667,309,316
  5. Step 5: Solve for x
    x = 2,667,309,316/34,370
  6. Step 6: Final answer
    x = 77,605.74

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