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Finding the Third Proportional to 35,447.63 and 51,075.56

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Solution

The third proportional to 35,447.63 and 51,075.56 is: 73,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.63 : 51,075.56 = 51,075.56 : x
  2. Step 2: Convert to fraction form
    35,447.63/51,075.56 = 51,075.56/x
  3. Step 3: Cross multiply
    35,447.63x = 51,075.56 × 51,075.56
  4. Step 4: Simplify right side
    35,447.63x = 2,608,713,084.69
  5. Step 5: Solve for x
    x = 2,608,713,084.69/35,447.63
  6. Step 6: Final answer
    x = 73,593.45

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Why These Related Problems?

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