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Finding the Third Proportional to 8,164.13 and 12,389.63

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Solution

The third proportional to 8,164.13 and 12,389.63 is: 18,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.13 : 12,389.63 = 12,389.63 : x
  2. Step 2: Convert to fraction form
    8,164.13/12,389.63 = 12,389.63/x
  3. Step 3: Cross multiply
    8,164.13x = 12,389.63 × 12,389.63
  4. Step 4: Simplify right side
    8,164.13x = 153,502,807.64
  5. Step 5: Solve for x
    x = 153,502,807.64/8,164.13
  6. Step 6: Final answer
    x = 18,802.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.