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Finding the Third Proportional to 7,545 and 11,089.88

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Solution

The third proportional to 7,545 and 11,089.88 is: 16,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545 : 11,089.88 = 11,089.88 : x
  2. Step 2: Convert to fraction form
    7,545/11,089.88 = 11,089.88/x
  3. Step 3: Cross multiply
    7,545x = 11,089.88 × 11,089.88
  4. Step 4: Simplify right side
    7,545x = 122,985,327.52
  5. Step 5: Solve for x
    x = 122,985,327.52/7,545
  6. Step 6: Final answer
    x = 16,300.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.