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Finding the Third Proportional to 14,034 and 32,791

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Solution

The third proportional to 14,034 and 32,791 is: 76,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034 : 32,791 = 32,791 : x
  2. Step 2: Convert to fraction form
    14,034/32,791 = 32,791/x
  3. Step 3: Cross multiply
    14,034x = 32,791 × 32,791
  4. Step 4: Simplify right side
    14,034x = 1,075,249,681
  5. Step 5: Solve for x
    x = 1,075,249,681/14,034
  6. Step 6: Final answer
    x = 76,617.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.