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Finding the Third Proportional to 43,299 and 65,075.63

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Solution

The third proportional to 43,299 and 65,075.63 is: 97,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,299 : 65,075.63 = 65,075.63 : x
  2. Step 2: Convert to fraction form
    43,299/65,075.63 = 65,075.63/x
  3. Step 3: Cross multiply
    43,299x = 65,075.63 × 65,075.63
  4. Step 4: Simplify right side
    43,299x = 4,234,836,969.14
  5. Step 5: Solve for x
    x = 4,234,836,969.14/43,299
  6. Step 6: Final answer
    x = 97,804.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.