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Finding the Third Proportional to 19,280 and 25,168

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Solution

The third proportional to 19,280 and 25,168 is: 32,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280 : 25,168 = 25,168 : x
  2. Step 2: Convert to fraction form
    19,280/25,168 = 25,168/x
  3. Step 3: Cross multiply
    19,280x = 25,168 × 25,168
  4. Step 4: Simplify right side
    19,280x = 633,428,224
  5. Step 5: Solve for x
    x = 633,428,224/19,280
  6. Step 6: Final answer
    x = 32,854.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.