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Finding the Third Proportional to 17,507 and 26,200

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Solution

The third proportional to 17,507 and 26,200 is: 39,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507 : 26,200 = 26,200 : x
  2. Step 2: Convert to fraction form
    17,507/26,200 = 26,200/x
  3. Step 3: Cross multiply
    17,507x = 26,200 × 26,200
  4. Step 4: Simplify right side
    17,507x = 686,440,000
  5. Step 5: Solve for x
    x = 686,440,000/17,507
  6. Step 6: Final answer
    x = 39,209.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.