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Finding the Third Proportional to 16,411.50 and 35,792.63

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Solution

The third proportional to 16,411.50 and 35,792.63 is: 78,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.50 : 35,792.63 = 35,792.63 : x
  2. Step 2: Convert to fraction form
    16,411.50/35,792.63 = 35,792.63/x
  3. Step 3: Cross multiply
    16,411.50x = 35,792.63 × 35,792.63
  4. Step 4: Simplify right side
    16,411.50x = 1,281,112,004.39
  5. Step 5: Solve for x
    x = 1,281,112,004.39/16,411.50
  6. Step 6: Final answer
    x = 78,061.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.