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Finding the Third Proportional to 35,328.50 and 49,514

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Solution

The third proportional to 35,328.50 and 49,514 is: 69,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,328.50 : 49,514 = 49,514 : x
  2. Step 2: Convert to fraction form
    35,328.50/49,514 = 49,514/x
  3. Step 3: Cross multiply
    35,328.50x = 49,514 × 49,514
  4. Step 4: Simplify right side
    35,328.50x = 2,451,636,196
  5. Step 5: Solve for x
    x = 2,451,636,196/35,328.50
  6. Step 6: Final answer
    x = 69,395.42

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