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Finding the Third Proportional to 12,582 and 19,176.75

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Solution

The third proportional to 12,582 and 19,176.75 is: 29,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 19,176.75 = 19,176.75 : x
  2. Step 2: Convert to fraction form
    12,582/19,176.75 = 19,176.75/x
  3. Step 3: Cross multiply
    12,582x = 19,176.75 × 19,176.75
  4. Step 4: Simplify right side
    12,582x = 367,747,740.56
  5. Step 5: Solve for x
    x = 367,747,740.56/12,582
  6. Step 6: Final answer
    x = 29,228.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.