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Finding the Third Proportional to 9,457.07 and 15,108.24

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Solution

The third proportional to 9,457.07 and 15,108.24 is: 24,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.07 : 15,108.24 = 15,108.24 : x
  2. Step 2: Convert to fraction form
    9,457.07/15,108.24 = 15,108.24/x
  3. Step 3: Cross multiply
    9,457.07x = 15,108.24 × 15,108.24
  4. Step 4: Simplify right side
    9,457.07x = 228,258,922.98
  5. Step 5: Solve for x
    x = 228,258,922.98/9,457.07
  6. Step 6: Final answer
    x = 24,136.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.