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Finding the Third Proportional to 46,713 and 67,153.50

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Solution

The third proportional to 46,713 and 67,153.50 is: 96,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713 : 67,153.50 = 67,153.50 : x
  2. Step 2: Convert to fraction form
    46,713/67,153.50 = 67,153.50/x
  3. Step 3: Cross multiply
    46,713x = 67,153.50 × 67,153.50
  4. Step 4: Simplify right side
    46,713x = 4,509,592,562.25
  5. Step 5: Solve for x
    x = 4,509,592,562.25/46,713
  6. Step 6: Final answer
    x = 96,538.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.