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Finding the Third Proportional to 23,851.63 and 35,048.13

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Solution

The third proportional to 23,851.63 and 35,048.13 is: 51,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.63 : 35,048.13 = 35,048.13 : x
  2. Step 2: Convert to fraction form
    23,851.63/35,048.13 = 35,048.13/x
  3. Step 3: Cross multiply
    23,851.63x = 35,048.13 × 35,048.13
  4. Step 4: Simplify right side
    23,851.63x = 1,228,371,066.02
  5. Step 5: Solve for x
    x = 1,228,371,066.02/23,851.63
  6. Step 6: Final answer
    x = 51,500.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.