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Finding the Third Proportional to 14,644.83 and 30,328.17

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Solution

The third proportional to 14,644.83 and 30,328.17 is: 62,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.83 : 30,328.17 = 30,328.17 : x
  2. Step 2: Convert to fraction form
    14,644.83/30,328.17 = 30,328.17/x
  3. Step 3: Cross multiply
    14,644.83x = 30,328.17 × 30,328.17
  4. Step 4: Simplify right side
    14,644.83x = 919,798,009.28
  5. Step 5: Solve for x
    x = 919,798,009.28/14,644.83
  6. Step 6: Final answer
    x = 62,807.02

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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.