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Finding the Third Proportional to 14,990.63 and 32,999.63

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Solution

The third proportional to 14,990.63 and 32,999.63 is: 72,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,990.63 : 32,999.63 = 32,999.63 : x
  2. Step 2: Convert to fraction form
    14,990.63/32,999.63 = 32,999.63/x
  3. Step 3: Cross multiply
    14,990.63x = 32,999.63 × 32,999.63
  4. Step 4: Simplify right side
    14,990.63x = 1,088,975,250.14
  5. Step 5: Solve for x
    x = 1,088,975,250.14/14,990.63
  6. Step 6: Final answer
    x = 72,643.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.