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Finding the Third Proportional to 9,145 and 13,392.50

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Solution

The third proportional to 9,145 and 13,392.50 is: 19,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145 : 13,392.50 = 13,392.50 : x
  2. Step 2: Convert to fraction form
    9,145/13,392.50 = 13,392.50/x
  3. Step 3: Cross multiply
    9,145x = 13,392.50 × 13,392.50
  4. Step 4: Simplify right side
    9,145x = 179,359,056.25
  5. Step 5: Solve for x
    x = 179,359,056.25/9,145
  6. Step 6: Final answer
    x = 19,612.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.