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Finding the Third Proportional to 11,732.34 and 17,888.98

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Solution

The third proportional to 11,732.34 and 17,888.98 is: 27,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.34 : 17,888.98 = 17,888.98 : x
  2. Step 2: Convert to fraction form
    11,732.34/17,888.98 = 17,888.98/x
  3. Step 3: Cross multiply
    11,732.34x = 17,888.98 × 17,888.98
  4. Step 4: Simplify right side
    11,732.34x = 320,015,482.45
  5. Step 5: Solve for x
    x = 320,015,482.45/11,732.34
  6. Step 6: Final answer
    x = 27,276.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.