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Finding the Third Proportional to 13,999.08 and 32,432.91

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Solution

The third proportional to 13,999.08 and 32,432.91 is: 75,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.08 : 32,432.91 = 32,432.91 : x
  2. Step 2: Convert to fraction form
    13,999.08/32,432.91 = 32,432.91/x
  3. Step 3: Cross multiply
    13,999.08x = 32,432.91 × 32,432.91
  4. Step 4: Simplify right side
    13,999.08x = 1,051,893,407.82
  5. Step 5: Solve for x
    x = 1,051,893,407.82/13,999.08
  6. Step 6: Final answer
    x = 75,140.19

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.