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Finding the Third Proportional to 10,069 and 15,368.69

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Solution

The third proportional to 10,069 and 15,368.69 is: 23,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 15,368.69 = 15,368.69 : x
  2. Step 2: Convert to fraction form
    10,069/15,368.69 = 15,368.69/x
  3. Step 3: Cross multiply
    10,069x = 15,368.69 × 15,368.69
  4. Step 4: Simplify right side
    10,069x = 236,196,555.47
  5. Step 5: Solve for x
    x = 236,196,555.47/10,069
  6. Step 6: Final answer
    x = 23,457.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.