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Finding the Third Proportional to 4,916.63 and 7,520.91

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Solution

The third proportional to 4,916.63 and 7,520.91 is: 11,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.63 : 7,520.91 = 7,520.91 : x
  2. Step 2: Convert to fraction form
    4,916.63/7,520.91 = 7,520.91/x
  3. Step 3: Cross multiply
    4,916.63x = 7,520.91 × 7,520.91
  4. Step 4: Simplify right side
    4,916.63x = 56,564,030.82
  5. Step 5: Solve for x
    x = 56,564,030.82/4,916.63
  6. Step 6: Final answer
    x = 11,504.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.