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Finding the Third Proportional to 23,071.50 and 32,992.13

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Solution

The third proportional to 23,071.50 and 32,992.13 is: 47,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.50 : 32,992.13 = 32,992.13 : x
  2. Step 2: Convert to fraction form
    23,071.50/32,992.13 = 32,992.13/x
  3. Step 3: Cross multiply
    23,071.50x = 32,992.13 × 32,992.13
  4. Step 4: Simplify right side
    23,071.50x = 1,088,480,312.02
  5. Step 5: Solve for x
    x = 1,088,480,312.02/23,071.50
  6. Step 6: Final answer
    x = 47,178.57

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.