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Finding the Third Proportional to 10,977 and 14,599.50

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Solution

The third proportional to 10,977 and 14,599.50 is: 19,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 14,599.50 = 14,599.50 : x
  2. Step 2: Convert to fraction form
    10,977/14,599.50 = 14,599.50/x
  3. Step 3: Cross multiply
    10,977x = 14,599.50 × 14,599.50
  4. Step 4: Simplify right side
    10,977x = 213,145,400.25
  5. Step 5: Solve for x
    x = 213,145,400.25/10,977
  6. Step 6: Final answer
    x = 19,417.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.