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Finding the Third Proportional to 25,350 and 52,316

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Solution

The third proportional to 25,350 and 52,316 is: 107,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,350 : 52,316 = 52,316 : x
  2. Step 2: Convert to fraction form
    25,350/52,316 = 52,316/x
  3. Step 3: Cross multiply
    25,350x = 52,316 × 52,316
  4. Step 4: Simplify right side
    25,350x = 2,736,963,856
  5. Step 5: Solve for x
    x = 2,736,963,856/25,350
  6. Step 6: Final answer
    x = 107,967.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.