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Finding the Third Proportional to 10,477.50 and 13,988

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Solution

The third proportional to 10,477.50 and 13,988 is: 18,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.50 : 13,988 = 13,988 : x
  2. Step 2: Convert to fraction form
    10,477.50/13,988 = 13,988/x
  3. Step 3: Cross multiply
    10,477.50x = 13,988 × 13,988
  4. Step 4: Simplify right side
    10,477.50x = 195,664,144
  5. Step 5: Solve for x
    x = 195,664,144/10,477.50
  6. Step 6: Final answer
    x = 18,674.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.