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Finding the Third Proportional to 7,489.69 and 16,300.69

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Solution

The third proportional to 7,489.69 and 16,300.69 is: 35,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.69 : 16,300.69 = 16,300.69 : x
  2. Step 2: Convert to fraction form
    7,489.69/16,300.69 = 16,300.69/x
  3. Step 3: Cross multiply
    7,489.69x = 16,300.69 × 16,300.69
  4. Step 4: Simplify right side
    7,489.69x = 265,712,412.97
  5. Step 5: Solve for x
    x = 265,712,412.97/7,489.69
  6. Step 6: Final answer
    x = 35,477.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.