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Finding the Third Proportional to 10,071 and 14,427.75

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Solution

The third proportional to 10,071 and 14,427.75 is: 20,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071 : 14,427.75 = 14,427.75 : x
  2. Step 2: Convert to fraction form
    10,071/14,427.75 = 14,427.75/x
  3. Step 3: Cross multiply
    10,071x = 14,427.75 × 14,427.75
  4. Step 4: Simplify right side
    10,071x = 208,159,970.06
  5. Step 5: Solve for x
    x = 208,159,970.06/10,071
  6. Step 6: Final answer
    x = 20,669.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.