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Finding the Third Proportional to 5,322.75 and 12,432.38

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Solution

The third proportional to 5,322.75 and 12,432.38 is: 29,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.75 : 12,432.38 = 12,432.38 : x
  2. Step 2: Convert to fraction form
    5,322.75/12,432.38 = 12,432.38/x
  3. Step 3: Cross multiply
    5,322.75x = 12,432.38 × 12,432.38
  4. Step 4: Simplify right side
    5,322.75x = 154,563,948.14
  5. Step 5: Solve for x
    x = 154,563,948.14/5,322.75
  6. Step 6: Final answer
    x = 29,038.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.