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Finding the Third Proportional to 23,653.13 and 35,580.38

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Solution

The third proportional to 23,653.13 and 35,580.38 is: 53,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.13 : 35,580.38 = 35,580.38 : x
  2. Step 2: Convert to fraction form
    23,653.13/35,580.38 = 35,580.38/x
  3. Step 3: Cross multiply
    23,653.13x = 35,580.38 × 35,580.38
  4. Step 4: Simplify right side
    23,653.13x = 1,265,963,085.14
  5. Step 5: Solve for x
    x = 1,265,963,085.14/23,653.13
  6. Step 6: Final answer
    x = 53,522.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.