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Finding the Third Proportional to 14,347.13 and 30,999.59

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Solution

The third proportional to 14,347.13 and 30,999.59 is: 66,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.13 : 30,999.59 = 30,999.59 : x
  2. Step 2: Convert to fraction form
    14,347.13/30,999.59 = 30,999.59/x
  3. Step 3: Cross multiply
    14,347.13x = 30,999.59 × 30,999.59
  4. Step 4: Simplify right side
    14,347.13x = 960,974,328.30
  5. Step 5: Solve for x
    x = 960,974,328.30/14,347.13
  6. Step 6: Final answer
    x = 66,980.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.