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Finding the Third Proportional to 12,316 and 25,358

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Solution

The third proportional to 12,316 and 25,358 is: 52,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316 : 25,358 = 25,358 : x
  2. Step 2: Convert to fraction form
    12,316/25,358 = 25,358/x
  3. Step 3: Cross multiply
    12,316x = 25,358 × 25,358
  4. Step 4: Simplify right side
    12,316x = 643,028,164
  5. Step 5: Solve for x
    x = 643,028,164/12,316
  6. Step 6: Final answer
    x = 52,210.80

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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.