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Finding the Third Proportional to 19,140 and 25,413

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Solution

The third proportional to 19,140 and 25,413 is: 33,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,140 : 25,413 = 25,413 : x
  2. Step 2: Convert to fraction form
    19,140/25,413 = 25,413/x
  3. Step 3: Cross multiply
    19,140x = 25,413 × 25,413
  4. Step 4: Simplify right side
    19,140x = 645,820,569
  5. Step 5: Solve for x
    x = 645,820,569/19,140
  6. Step 6: Final answer
    x = 33,741.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.