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Finding the Third Proportional to 12,316 and 26,396

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Solution

The third proportional to 12,316 and 26,396 is: 56,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316 : 26,396 = 26,396 : x
  2. Step 2: Convert to fraction form
    12,316/26,396 = 26,396/x
  3. Step 3: Cross multiply
    12,316x = 26,396 × 26,396
  4. Step 4: Simplify right side
    12,316x = 696,748,816
  5. Step 5: Solve for x
    x = 696,748,816/12,316
  6. Step 6: Final answer
    x = 56,572.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.