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Finding the Third Proportional to 53,670 and 61,446

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Solution

The third proportional to 53,670 and 61,446 is: 70,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670 : 61,446 = 61,446 : x
  2. Step 2: Convert to fraction form
    53,670/61,446 = 61,446/x
  3. Step 3: Cross multiply
    53,670x = 61,446 × 61,446
  4. Step 4: Simplify right side
    53,670x = 3,775,610,916
  5. Step 5: Solve for x
    x = 3,775,610,916/53,670
  6. Step 6: Final answer
    x = 70,348.63

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.