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Finding the Third Proportional to 10,666.69 and 15,615.28

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Solution

The third proportional to 10,666.69 and 15,615.28 is: 22,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.69 : 15,615.28 = 15,615.28 : x
  2. Step 2: Convert to fraction form
    10,666.69/15,615.28 = 15,615.28/x
  3. Step 3: Cross multiply
    10,666.69x = 15,615.28 × 15,615.28
  4. Step 4: Simplify right side
    10,666.69x = 243,837,008.52
  5. Step 5: Solve for x
    x = 243,837,008.52/10,666.69
  6. Step 6: Final answer
    x = 22,859.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.