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Finding the Third Proportional to 14,904.75 and 23,111.63

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Solution

The third proportional to 14,904.75 and 23,111.63 is: 35,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.75 : 23,111.63 = 23,111.63 : x
  2. Step 2: Convert to fraction form
    14,904.75/23,111.63 = 23,111.63/x
  3. Step 3: Cross multiply
    14,904.75x = 23,111.63 × 23,111.63
  4. Step 4: Simplify right side
    14,904.75x = 534,147,210.14
  5. Step 5: Solve for x
    x = 534,147,210.14/14,904.75
  6. Step 6: Final answer
    x = 35,837.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.