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Finding the Third Proportional to 42,403.63 and 57,587.63

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Solution

The third proportional to 42,403.63 and 57,587.63 is: 78,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,403.63 : 57,587.63 = 57,587.63 : x
  2. Step 2: Convert to fraction form
    42,403.63/57,587.63 = 57,587.63/x
  3. Step 3: Cross multiply
    42,403.63x = 57,587.63 × 57,587.63
  4. Step 4: Simplify right side
    42,403.63x = 3,316,334,553.14
  5. Step 5: Solve for x
    x = 3,316,334,553.14/42,403.63
  6. Step 6: Final answer
    x = 78,208.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.