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Finding the Third Proportional to 46,339.59 and 67,869.14

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Solution

The third proportional to 46,339.59 and 67,869.14 is: 99,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,339.59 : 67,869.14 = 67,869.14 : x
  2. Step 2: Convert to fraction form
    46,339.59/67,869.14 = 67,869.14/x
  3. Step 3: Cross multiply
    46,339.59x = 67,869.14 × 67,869.14
  4. Step 4: Simplify right side
    46,339.59x = 4,606,220,249.18
  5. Step 5: Solve for x
    x = 4,606,220,249.18/46,339.59
  6. Step 6: Final answer
    x = 99,401.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.