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Finding the Third Proportional to 15,674.50 and 34,265

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Solution

The third proportional to 15,674.50 and 34,265 is: 74,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.50 : 34,265 = 34,265 : x
  2. Step 2: Convert to fraction form
    15,674.50/34,265 = 34,265/x
  3. Step 3: Cross multiply
    15,674.50x = 34,265 × 34,265
  4. Step 4: Simplify right side
    15,674.50x = 1,174,090,225
  5. Step 5: Solve for x
    x = 1,174,090,225/15,674.50
  6. Step 6: Final answer
    x = 74,904.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.