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Finding the Third Proportional to 28,408 and 44,465

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Solution

The third proportional to 28,408 and 44,465 is: 69,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,408 : 44,465 = 44,465 : x
  2. Step 2: Convert to fraction form
    28,408/44,465 = 44,465/x
  3. Step 3: Cross multiply
    28,408x = 44,465 × 44,465
  4. Step 4: Simplify right side
    28,408x = 1,977,136,225
  5. Step 5: Solve for x
    x = 1,977,136,225/28,408
  6. Step 6: Final answer
    x = 69,597.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.