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Finding the Third Proportional to 25,800 and 52,428

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Solution

The third proportional to 25,800 and 52,428 is: 106,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 52,428 = 52,428 : x
  2. Step 2: Convert to fraction form
    25,800/52,428 = 52,428/x
  3. Step 3: Cross multiply
    25,800x = 52,428 × 52,428
  4. Step 4: Simplify right side
    25,800x = 2,748,695,184
  5. Step 5: Solve for x
    x = 2,748,695,184/25,800
  6. Step 6: Final answer
    x = 106,538.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.