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Finding the Third Proportional to 10,071.75 and 15,329.63

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Solution

The third proportional to 10,071.75 and 15,329.63 is: 23,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.75 : 15,329.63 = 15,329.63 : x
  2. Step 2: Convert to fraction form
    10,071.75/15,329.63 = 15,329.63/x
  3. Step 3: Cross multiply
    10,071.75x = 15,329.63 × 15,329.63
  4. Step 4: Simplify right side
    10,071.75x = 234,997,402.64
  5. Step 5: Solve for x
    x = 234,997,402.64/10,071.75
  6. Step 6: Final answer
    x = 23,332.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.