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Finding the Third Proportional to 25,184 and 53,359

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Solution

The third proportional to 25,184 and 53,359 is: 113,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184 : 53,359 = 53,359 : x
  2. Step 2: Convert to fraction form
    25,184/53,359 = 53,359/x
  3. Step 3: Cross multiply
    25,184x = 53,359 × 53,359
  4. Step 4: Simplify right side
    25,184x = 2,847,182,881
  5. Step 5: Solve for x
    x = 2,847,182,881/25,184
  6. Step 6: Final answer
    x = 113,055.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.