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Finding the Third Proportional to 18,127.50 and 25,527.50

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Solution

The third proportional to 18,127.50 and 25,527.50 is: 35,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,127.50 : 25,527.50 = 25,527.50 : x
  2. Step 2: Convert to fraction form
    18,127.50/25,527.50 = 25,527.50/x
  3. Step 3: Cross multiply
    18,127.50x = 25,527.50 × 25,527.50
  4. Step 4: Simplify right side
    18,127.50x = 651,653,256.25
  5. Step 5: Solve for x
    x = 651,653,256.25/18,127.50
  6. Step 6: Final answer
    x = 35,948.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.