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Finding the Third Proportional to 5,423.63 and 7,929.56

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Solution

The third proportional to 5,423.63 and 7,929.56 is: 11,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.63 : 7,929.56 = 7,929.56 : x
  2. Step 2: Convert to fraction form
    5,423.63/7,929.56 = 7,929.56/x
  3. Step 3: Cross multiply
    5,423.63x = 7,929.56 × 7,929.56
  4. Step 4: Simplify right side
    5,423.63x = 62,877,961.44
  5. Step 5: Solve for x
    x = 62,877,961.44/5,423.63
  6. Step 6: Final answer
    x = 11,593.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.