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Finding the Third Proportional to 28,718.50 and 41,964

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Solution

The third proportional to 28,718.50 and 41,964 is: 61,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,718.50 : 41,964 = 41,964 : x
  2. Step 2: Convert to fraction form
    28,718.50/41,964 = 41,964/x
  3. Step 3: Cross multiply
    28,718.50x = 41,964 × 41,964
  4. Step 4: Simplify right side
    28,718.50x = 1,760,977,296
  5. Step 5: Solve for x
    x = 1,760,977,296/28,718.50
  6. Step 6: Final answer
    x = 61,318.57

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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.