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Finding the Third Proportional to 4,330.13 and 4,937.63

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Solution

The third proportional to 4,330.13 and 4,937.63 is: 5,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.13 : 4,937.63 = 4,937.63 : x
  2. Step 2: Convert to fraction form
    4,330.13/4,937.63 = 4,937.63/x
  3. Step 3: Cross multiply
    4,330.13x = 4,937.63 × 4,937.63
  4. Step 4: Simplify right side
    4,330.13x = 24,380,140.64
  5. Step 5: Solve for x
    x = 24,380,140.64/4,330.13
  6. Step 6: Final answer
    x = 5,630.35

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.