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Finding the Third Proportional to 42,044 and 61,447

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Solution

The third proportional to 42,044 and 61,447 is: 89,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,044 : 61,447 = 61,447 : x
  2. Step 2: Convert to fraction form
    42,044/61,447 = 61,447/x
  3. Step 3: Cross multiply
    42,044x = 61,447 × 61,447
  4. Step 4: Simplify right side
    42,044x = 3,775,733,809
  5. Step 5: Solve for x
    x = 3,775,733,809/42,044
  6. Step 6: Final answer
    x = 89,804.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.