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Finding the Third Proportional to 12,948 and 14,892

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Solution

The third proportional to 12,948 and 14,892 is: 17,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948 : 14,892 = 14,892 : x
  2. Step 2: Convert to fraction form
    12,948/14,892 = 14,892/x
  3. Step 3: Cross multiply
    12,948x = 14,892 × 14,892
  4. Step 4: Simplify right side
    12,948x = 221,771,664
  5. Step 5: Solve for x
    x = 221,771,664/12,948
  6. Step 6: Final answer
    x = 17,127.87

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.