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Finding the Third Proportional to 42,865.44 and 63,677.06

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Solution

The third proportional to 42,865.44 and 63,677.06 is: 94,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,865.44 : 63,677.06 = 63,677.06 : x
  2. Step 2: Convert to fraction form
    42,865.44/63,677.06 = 63,677.06/x
  3. Step 3: Cross multiply
    42,865.44x = 63,677.06 × 63,677.06
  4. Step 4: Simplify right side
    42,865.44x = 4,054,768,288.63
  5. Step 5: Solve for x
    x = 4,054,768,288.63/42,865.44
  6. Step 6: Final answer
    x = 94,592.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.