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Finding the Third Proportional to 12,709.50 and 26,316

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Solution

The third proportional to 12,709.50 and 26,316 is: 54,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.50 : 26,316 = 26,316 : x
  2. Step 2: Convert to fraction form
    12,709.50/26,316 = 26,316/x
  3. Step 3: Cross multiply
    12,709.50x = 26,316 × 26,316
  4. Step 4: Simplify right side
    12,709.50x = 692,531,856
  5. Step 5: Solve for x
    x = 692,531,856/12,709.50
  6. Step 6: Final answer
    x = 54,489.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.