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Finding the Third Proportional to 10,007 and 14,928

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Solution

The third proportional to 10,007 and 14,928 is: 22,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007 : 14,928 = 14,928 : x
  2. Step 2: Convert to fraction form
    10,007/14,928 = 14,928/x
  3. Step 3: Cross multiply
    10,007x = 14,928 × 14,928
  4. Step 4: Simplify right side
    10,007x = 222,845,184
  5. Step 5: Solve for x
    x = 222,845,184/10,007
  6. Step 6: Final answer
    x = 22,268.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.