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Finding the Third Proportional to 7,346.06 and 10,864.69

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Solution

The third proportional to 7,346.06 and 10,864.69 is: 16,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.06 : 10,864.69 = 10,864.69 : x
  2. Step 2: Convert to fraction form
    7,346.06/10,864.69 = 10,864.69/x
  3. Step 3: Cross multiply
    7,346.06x = 10,864.69 × 10,864.69
  4. Step 4: Simplify right side
    7,346.06x = 118,041,434.47
  5. Step 5: Solve for x
    x = 118,041,434.47/7,346.06
  6. Step 6: Final answer
    x = 16,068.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.