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Finding the Third Proportional to 46,219.50 and 64,381.50

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Solution

The third proportional to 46,219.50 and 64,381.50 is: 89,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,219.50 : 64,381.50 = 64,381.50 : x
  2. Step 2: Convert to fraction form
    46,219.50/64,381.50 = 64,381.50/x
  3. Step 3: Cross multiply
    46,219.50x = 64,381.50 × 64,381.50
  4. Step 4: Simplify right side
    46,219.50x = 4,144,977,542.25
  5. Step 5: Solve for x
    x = 4,144,977,542.25/46,219.50
  6. Step 6: Final answer
    x = 89,680.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.