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Finding the Third Proportional to 46,303.50 and 62,740.50

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Solution

The third proportional to 46,303.50 and 62,740.50 is: 85,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,303.50 : 62,740.50 = 62,740.50 : x
  2. Step 2: Convert to fraction form
    46,303.50/62,740.50 = 62,740.50/x
  3. Step 3: Cross multiply
    46,303.50x = 62,740.50 × 62,740.50
  4. Step 4: Simplify right side
    46,303.50x = 3,936,370,340.25
  5. Step 5: Solve for x
    x = 3,936,370,340.25/46,303.50
  6. Step 6: Final answer
    x = 85,012.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.