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Finding the Third Proportional to 36,283.50 and 78,804

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Solution

The third proportional to 36,283.50 and 78,804 is: 171,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,283.50 : 78,804 = 78,804 : x
  2. Step 2: Convert to fraction form
    36,283.50/78,804 = 78,804/x
  3. Step 3: Cross multiply
    36,283.50x = 78,804 × 78,804
  4. Step 4: Simplify right side
    36,283.50x = 6,210,070,416
  5. Step 5: Solve for x
    x = 6,210,070,416/36,283.50
  6. Step 6: Final answer
    x = 171,154.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.