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Finding the Third Proportional to 7,532 and 17,780

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Solution

The third proportional to 7,532 and 17,780 is: 41,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532 : 17,780 = 17,780 : x
  2. Step 2: Convert to fraction form
    7,532/17,780 = 17,780/x
  3. Step 3: Cross multiply
    7,532x = 17,780 × 17,780
  4. Step 4: Simplify right side
    7,532x = 316,128,400
  5. Step 5: Solve for x
    x = 316,128,400/7,532
  6. Step 6: Final answer
    x = 41,971.38

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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.