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Finding the Third Proportional to 10,607.63 and 16,277.63

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Solution

The third proportional to 10,607.63 and 16,277.63 is: 24,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.63 : 16,277.63 = 16,277.63 : x
  2. Step 2: Convert to fraction form
    10,607.63/16,277.63 = 16,277.63/x
  3. Step 3: Cross multiply
    10,607.63x = 16,277.63 × 16,277.63
  4. Step 4: Simplify right side
    10,607.63x = 264,961,075.64
  5. Step 5: Solve for x
    x = 264,961,075.64/10,607.63
  6. Step 6: Final answer
    x = 24,978.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.