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Finding the Third Proportional to 10,972.69 and 25,886.81

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Solution

The third proportional to 10,972.69 and 25,886.81 is: 61,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.69 : 25,886.81 = 25,886.81 : x
  2. Step 2: Convert to fraction form
    10,972.69/25,886.81 = 25,886.81/x
  3. Step 3: Cross multiply
    10,972.69x = 25,886.81 × 25,886.81
  4. Step 4: Simplify right side
    10,972.69x = 670,127,061.41
  5. Step 5: Solve for x
    x = 670,127,061.41/10,972.69
  6. Step 6: Final answer
    x = 61,072.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.