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Finding the Third Proportional to 7,594 and 13,412

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Solution

The third proportional to 7,594 and 13,412 is: 23,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594 : 13,412 = 13,412 : x
  2. Step 2: Convert to fraction form
    7,594/13,412 = 13,412/x
  3. Step 3: Cross multiply
    7,594x = 13,412 × 13,412
  4. Step 4: Simplify right side
    7,594x = 179,881,744
  5. Step 5: Solve for x
    x = 179,881,744/7,594
  6. Step 6: Final answer
    x = 23,687.35

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.