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Finding the Third Proportional to 15,457.50 and 17,644.50

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Solution

The third proportional to 15,457.50 and 17,644.50 is: 20,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.50 : 17,644.50 = 17,644.50 : x
  2. Step 2: Convert to fraction form
    15,457.50/17,644.50 = 17,644.50/x
  3. Step 3: Cross multiply
    15,457.50x = 17,644.50 × 17,644.50
  4. Step 4: Simplify right side
    15,457.50x = 311,328,380.25
  5. Step 5: Solve for x
    x = 311,328,380.25/15,457.50
  6. Step 6: Final answer
    x = 20,140.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.