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Finding the Third Proportional to 24,309 and 35,596

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Solution

The third proportional to 24,309 and 35,596 is: 52,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309 : 35,596 = 35,596 : x
  2. Step 2: Convert to fraction form
    24,309/35,596 = 35,596/x
  3. Step 3: Cross multiply
    24,309x = 35,596 × 35,596
  4. Step 4: Simplify right side
    24,309x = 1,267,075,216
  5. Step 5: Solve for x
    x = 1,267,075,216/24,309
  6. Step 6: Final answer
    x = 52,123.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.