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Finding the Third Proportional to 5,592 and 9,157.50

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Solution

The third proportional to 5,592 and 9,157.50 is: 14,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592 : 9,157.50 = 9,157.50 : x
  2. Step 2: Convert to fraction form
    5,592/9,157.50 = 9,157.50/x
  3. Step 3: Cross multiply
    5,592x = 9,157.50 × 9,157.50
  4. Step 4: Simplify right side
    5,592x = 83,859,806.25
  5. Step 5: Solve for x
    x = 83,859,806.25/5,592
  6. Step 6: Final answer
    x = 14,996.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.