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Finding the Third Proportional to 10,095 and 15,495.75

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Solution

The third proportional to 10,095 and 15,495.75 is: 23,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095 : 15,495.75 = 15,495.75 : x
  2. Step 2: Convert to fraction form
    10,095/15,495.75 = 15,495.75/x
  3. Step 3: Cross multiply
    10,095x = 15,495.75 × 15,495.75
  4. Step 4: Simplify right side
    10,095x = 240,118,268.06
  5. Step 5: Solve for x
    x = 240,118,268.06/10,095
  6. Step 6: Final answer
    x = 23,785.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.