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Finding the Third Proportional to 15,900.75 and 23,580.75

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Solution

The third proportional to 15,900.75 and 23,580.75 is: 34,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.75 : 23,580.75 = 23,580.75 : x
  2. Step 2: Convert to fraction form
    15,900.75/23,580.75 = 23,580.75/x
  3. Step 3: Cross multiply
    15,900.75x = 23,580.75 × 23,580.75
  4. Step 4: Simplify right side
    15,900.75x = 556,051,770.56
  5. Step 5: Solve for x
    x = 556,051,770.56/15,900.75
  6. Step 6: Final answer
    x = 34,970.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.