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Finding the Third Proportional to 26,465 and 62,440

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Solution

The third proportional to 26,465 and 62,440 is: 147,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465 : 62,440 = 62,440 : x
  2. Step 2: Convert to fraction form
    26,465/62,440 = 62,440/x
  3. Step 3: Cross multiply
    26,465x = 62,440 × 62,440
  4. Step 4: Simplify right side
    26,465x = 3,898,753,600
  5. Step 5: Solve for x
    x = 3,898,753,600/26,465
  6. Step 6: Final answer
    x = 147,317.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.