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Finding the Third Proportional to 42,994.13 and 61,927.13

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Solution

The third proportional to 42,994.13 and 61,927.13 is: 89,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,994.13 : 61,927.13 = 61,927.13 : x
  2. Step 2: Convert to fraction form
    42,994.13/61,927.13 = 61,927.13/x
  3. Step 3: Cross multiply
    42,994.13x = 61,927.13 × 61,927.13
  4. Step 4: Simplify right side
    42,994.13x = 3,834,968,810.77
  5. Step 5: Solve for x
    x = 3,834,968,810.77/42,994.13
  6. Step 6: Final answer
    x = 89,197.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.