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Finding the Third Proportional to 4,529.50 and 7,159

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Solution

The third proportional to 4,529.50 and 7,159 is: 11,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.50 : 7,159 = 7,159 : x
  2. Step 2: Convert to fraction form
    4,529.50/7,159 = 7,159/x
  3. Step 3: Cross multiply
    4,529.50x = 7,159 × 7,159
  4. Step 4: Simplify right side
    4,529.50x = 51,251,281
  5. Step 5: Solve for x
    x = 51,251,281/4,529.50
  6. Step 6: Final answer
    x = 11,315.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.