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Finding the Third Proportional to 9,050.63 and 13,927.50

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Solution

The third proportional to 9,050.63 and 13,927.50 is: 21,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.63 : 13,927.50 = 13,927.50 : x
  2. Step 2: Convert to fraction form
    9,050.63/13,927.50 = 13,927.50/x
  3. Step 3: Cross multiply
    9,050.63x = 13,927.50 × 13,927.50
  4. Step 4: Simplify right side
    9,050.63x = 193,975,256.25
  5. Step 5: Solve for x
    x = 193,975,256.25/9,050.63
  6. Step 6: Final answer
    x = 21,432.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.