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Finding the Third Proportional to 17,492.63 and 23,005.69

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Solution

The third proportional to 17,492.63 and 23,005.69 is: 30,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492.63 : 23,005.69 = 23,005.69 : x
  2. Step 2: Convert to fraction form
    17,492.63/23,005.69 = 23,005.69/x
  3. Step 3: Cross multiply
    17,492.63x = 23,005.69 × 23,005.69
  4. Step 4: Simplify right side
    17,492.63x = 529,261,657.35
  5. Step 5: Solve for x
    x = 529,261,657.35/17,492.63
  6. Step 6: Final answer
    x = 30,256.27

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.