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Finding the Third Proportional to 12,465 and 26,154

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Solution

The third proportional to 12,465 and 26,154 is: 54,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 26,154 = 26,154 : x
  2. Step 2: Convert to fraction form
    12,465/26,154 = 26,154/x
  3. Step 3: Cross multiply
    12,465x = 26,154 × 26,154
  4. Step 4: Simplify right side
    12,465x = 684,031,716
  5. Step 5: Solve for x
    x = 684,031,716/12,465
  6. Step 6: Final answer
    x = 54,876.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.