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Finding the Third Proportional to 35,880.50 and 78,318

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Solution

The third proportional to 35,880.50 and 78,318 is: 170,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.50 : 78,318 = 78,318 : x
  2. Step 2: Convert to fraction form
    35,880.50/78,318 = 78,318/x
  3. Step 3: Cross multiply
    35,880.50x = 78,318 × 78,318
  4. Step 4: Simplify right side
    35,880.50x = 6,133,709,124
  5. Step 5: Solve for x
    x = 6,133,709,124/35,880.50
  6. Step 6: Final answer
    x = 170,948.26

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Why These Related Problems?

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