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Finding the Third Proportional to 37,521 and 88,570

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Solution

The third proportional to 37,521 and 88,570 is: 209,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,521 : 88,570 = 88,570 : x
  2. Step 2: Convert to fraction form
    37,521/88,570 = 88,570/x
  3. Step 3: Cross multiply
    37,521x = 88,570 × 88,570
  4. Step 4: Simplify right side
    37,521x = 7,844,644,900
  5. Step 5: Solve for x
    x = 7,844,644,900/37,521
  6. Step 6: Final answer
    x = 209,073.45

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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.