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Finding the Third Proportional to 8,130.94 and 16,823.53

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Solution

The third proportional to 8,130.94 and 16,823.53 is: 34,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.94 : 16,823.53 = 16,823.53 : x
  2. Step 2: Convert to fraction form
    8,130.94/16,823.53 = 16,823.53/x
  3. Step 3: Cross multiply
    8,130.94x = 16,823.53 × 16,823.53
  4. Step 4: Simplify right side
    8,130.94x = 283,031,203.72
  5. Step 5: Solve for x
    x = 283,031,203.72/8,130.94
  6. Step 6: Final answer
    x = 34,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.