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Finding the Third Proportional to 9,458.02 and 13,254.89

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Solution

The third proportional to 9,458.02 and 13,254.89 is: 18,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.02 : 13,254.89 = 13,254.89 : x
  2. Step 2: Convert to fraction form
    9,458.02/13,254.89 = 13,254.89/x
  3. Step 3: Cross multiply
    9,458.02x = 13,254.89 × 13,254.89
  4. Step 4: Simplify right side
    9,458.02x = 175,692,125.48
  5. Step 5: Solve for x
    x = 175,692,125.48/9,458.02
  6. Step 6: Final answer
    x = 18,576.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.