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Finding the Third Proportional to 5,038.03 and 7,529.20

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Solution

The third proportional to 5,038.03 and 7,529.20 is: 11,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.03 : 7,529.20 = 7,529.20 : x
  2. Step 2: Convert to fraction form
    5,038.03/7,529.20 = 7,529.20/x
  3. Step 3: Cross multiply
    5,038.03x = 7,529.20 × 7,529.20
  4. Step 4: Simplify right side
    5,038.03x = 56,688,899.70
  5. Step 5: Solve for x
    x = 56,688,899.70/5,038.03
  6. Step 6: Final answer
    x = 11,252.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.