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Finding the Third Proportional to 19,176.75 and 25,417.13

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Solution

The third proportional to 19,176.75 and 25,417.13 is: 33,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176.75 : 25,417.13 = 25,417.13 : x
  2. Step 2: Convert to fraction form
    19,176.75/25,417.13 = 25,417.13/x
  3. Step 3: Cross multiply
    19,176.75x = 25,417.13 × 25,417.13
  4. Step 4: Simplify right side
    19,176.75x = 646,030,243.27
  5. Step 5: Solve for x
    x = 646,030,243.27/19,176.75
  6. Step 6: Final answer
    x = 33,688.20

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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.