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Finding the Third Proportional to 46,359 and 65,488.50

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Solution

The third proportional to 46,359 and 65,488.50 is: 92,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359 : 65,488.50 = 65,488.50 : x
  2. Step 2: Convert to fraction form
    46,359/65,488.50 = 65,488.50/x
  3. Step 3: Cross multiply
    46,359x = 65,488.50 × 65,488.50
  4. Step 4: Simplify right side
    46,359x = 4,288,743,632.25
  5. Step 5: Solve for x
    x = 4,288,743,632.25/46,359
  6. Step 6: Final answer
    x = 92,511.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.