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Finding the Third Proportional to 12,282.38 and 26,316.94

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Solution

The third proportional to 12,282.38 and 26,316.94 is: 56,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.38 : 26,316.94 = 26,316.94 : x
  2. Step 2: Convert to fraction form
    12,282.38/26,316.94 = 26,316.94/x
  3. Step 3: Cross multiply
    12,282.38x = 26,316.94 × 26,316.94
  4. Step 4: Simplify right side
    12,282.38x = 692,581,199.38
  5. Step 5: Solve for x
    x = 692,581,199.38/12,282.38
  6. Step 6: Final answer
    x = 56,388.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.