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Finding the Third Proportional to 7,445.88 and 10,941.13

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Solution

The third proportional to 7,445.88 and 10,941.13 is: 16,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.88 : 10,941.13 = 10,941.13 : x
  2. Step 2: Convert to fraction form
    7,445.88/10,941.13 = 10,941.13/x
  3. Step 3: Cross multiply
    7,445.88x = 10,941.13 × 10,941.13
  4. Step 4: Simplify right side
    7,445.88x = 119,708,216.27
  5. Step 5: Solve for x
    x = 119,708,216.27/7,445.88
  6. Step 6: Final answer
    x = 16,077.12

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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.