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Finding the Third Proportional to 12,089.25 and 19,281.38

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Solution

The third proportional to 12,089.25 and 19,281.38 is: 30,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.25 : 19,281.38 = 19,281.38 : x
  2. Step 2: Convert to fraction form
    12,089.25/19,281.38 = 19,281.38/x
  3. Step 3: Cross multiply
    12,089.25x = 19,281.38 × 19,281.38
  4. Step 4: Simplify right side
    12,089.25x = 371,771,421.89
  5. Step 5: Solve for x
    x = 371,771,421.89/12,089.25
  6. Step 6: Final answer
    x = 30,752.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.