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Finding the Third Proportional to 4,459.43 and 6,663.52

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Solution

The third proportional to 4,459.43 and 6,663.52 is: 9,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.43 : 6,663.52 = 6,663.52 : x
  2. Step 2: Convert to fraction form
    4,459.43/6,663.52 = 6,663.52/x
  3. Step 3: Cross multiply
    4,459.43x = 6,663.52 × 6,663.52
  4. Step 4: Simplify right side
    4,459.43x = 44,402,440.48
  5. Step 5: Solve for x
    x = 44,402,440.48/4,459.43
  6. Step 6: Final answer
    x = 9,956.98

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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.