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Finding the Third Proportional to 15,640.50 and 23,595.75

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Solution

The third proportional to 15,640.50 and 23,595.75 is: 35,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.50 : 23,595.75 = 23,595.75 : x
  2. Step 2: Convert to fraction form
    15,640.50/23,595.75 = 23,595.75/x
  3. Step 3: Cross multiply
    15,640.50x = 23,595.75 × 23,595.75
  4. Step 4: Simplify right side
    15,640.50x = 556,759,418.06
  5. Step 5: Solve for x
    x = 556,759,418.06/15,640.50
  6. Step 6: Final answer
    x = 35,597.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.