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Finding the Third Proportional to 42,037.88 and 61,440.19

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Solution

The third proportional to 42,037.88 and 61,440.19 is: 89,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037.88 : 61,440.19 = 61,440.19 : x
  2. Step 2: Convert to fraction form
    42,037.88/61,440.19 = 61,440.19/x
  3. Step 3: Cross multiply
    42,037.88x = 61,440.19 × 61,440.19
  4. Step 4: Simplify right side
    42,037.88x = 3,774,896,640.04
  5. Step 5: Solve for x
    x = 3,774,896,640.04/42,037.88
  6. Step 6: Final answer
    x = 89,797.51

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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.