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Finding the Third Proportional to 4,903.13 and 7,482.94

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Solution

The third proportional to 4,903.13 and 7,482.94 is: 11,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.13 : 7,482.94 = 7,482.94 : x
  2. Step 2: Convert to fraction form
    4,903.13/7,482.94 = 7,482.94/x
  3. Step 3: Cross multiply
    4,903.13x = 7,482.94 × 7,482.94
  4. Step 4: Simplify right side
    4,903.13x = 55,994,353.63
  5. Step 5: Solve for x
    x = 55,994,353.63/4,903.13
  6. Step 6: Final answer
    x = 11,420.14

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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.