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Finding the Third Proportional to 10,696.88 and 23,258.63

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Solution

The third proportional to 10,696.88 and 23,258.63 is: 50,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.88 : 23,258.63 = 23,258.63 : x
  2. Step 2: Convert to fraction form
    10,696.88/23,258.63 = 23,258.63/x
  3. Step 3: Cross multiply
    10,696.88x = 23,258.63 × 23,258.63
  4. Step 4: Simplify right side
    10,696.88x = 540,963,636.89
  5. Step 5: Solve for x
    x = 540,963,636.89/10,696.88
  6. Step 6: Final answer
    x = 50,572.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.