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Finding the Third Proportional to 23,804.44 and 34,970.06

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Solution

The third proportional to 23,804.44 and 34,970.06 is: 51,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.44 : 34,970.06 = 34,970.06 : x
  2. Step 2: Convert to fraction form
    23,804.44/34,970.06 = 34,970.06/x
  3. Step 3: Cross multiply
    23,804.44x = 34,970.06 × 34,970.06
  4. Step 4: Simplify right side
    23,804.44x = 1,222,905,271.25
  5. Step 5: Solve for x
    x = 1,222,905,271.25/23,804.44
  6. Step 6: Final answer
    x = 51,373.00

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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.