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Finding the Third Proportional to 9,560.53 and 14,543.30

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Solution

The third proportional to 9,560.53 and 14,543.30 is: 22,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.53 : 14,543.30 = 14,543.30 : x
  2. Step 2: Convert to fraction form
    9,560.53/14,543.30 = 14,543.30/x
  3. Step 3: Cross multiply
    9,560.53x = 14,543.30 × 14,543.30
  4. Step 4: Simplify right side
    9,560.53x = 211,507,483.99
  5. Step 5: Solve for x
    x = 211,507,483.99/9,560.53
  6. Step 6: Final answer
    x = 22,122.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.