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Finding the Third Proportional to 12,776.63 and 27,075.38

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Solution

The third proportional to 12,776.63 and 27,075.38 is: 57,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.63 : 27,075.38 = 27,075.38 : x
  2. Step 2: Convert to fraction form
    12,776.63/27,075.38 = 27,075.38/x
  3. Step 3: Cross multiply
    12,776.63x = 27,075.38 × 27,075.38
  4. Step 4: Simplify right side
    12,776.63x = 733,075,931.39
  5. Step 5: Solve for x
    x = 733,075,931.39/12,776.63
  6. Step 6: Final answer
    x = 57,376.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.