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Finding the Third Proportional to 9,047.50 and 13,752.50

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Solution

The third proportional to 9,047.50 and 13,752.50 is: 20,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.50 : 13,752.50 = 13,752.50 : x
  2. Step 2: Convert to fraction form
    9,047.50/13,752.50 = 13,752.50/x
  3. Step 3: Cross multiply
    9,047.50x = 13,752.50 × 13,752.50
  4. Step 4: Simplify right side
    9,047.50x = 189,131,256.25
  5. Step 5: Solve for x
    x = 189,131,256.25/9,047.50
  6. Step 6: Final answer
    x = 20,904.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.