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Finding the Third Proportional to 42,297.19 and 66,927.52

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Solution

The third proportional to 42,297.19 and 66,927.52 is: 105,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,297.19 : 66,927.52 = 66,927.52 : x
  2. Step 2: Convert to fraction form
    42,297.19/66,927.52 = 66,927.52/x
  3. Step 3: Cross multiply
    42,297.19x = 66,927.52 × 66,927.52
  4. Step 4: Simplify right side
    42,297.19x = 4,479,292,347.73
  5. Step 5: Solve for x
    x = 4,479,292,347.73/42,297.19
  6. Step 6: Final answer
    x = 105,900.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.