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Finding the Third Proportional to 26,300 and 38,570

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Solution

The third proportional to 26,300 and 38,570 is: 56,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,300 : 38,570 = 38,570 : x
  2. Step 2: Convert to fraction form
    26,300/38,570 = 38,570/x
  3. Step 3: Cross multiply
    26,300x = 38,570 × 38,570
  4. Step 4: Simplify right side
    26,300x = 1,487,644,900
  5. Step 5: Solve for x
    x = 1,487,644,900/26,300
  6. Step 6: Final answer
    x = 56,564.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.