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Finding the Third Proportional to 42,300 and 56,988

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Solution

The third proportional to 42,300 and 56,988 is: 76,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300 : 56,988 = 56,988 : x
  2. Step 2: Convert to fraction form
    42,300/56,988 = 56,988/x
  3. Step 3: Cross multiply
    42,300x = 56,988 × 56,988
  4. Step 4: Simplify right side
    42,300x = 3,247,632,144
  5. Step 5: Solve for x
    x = 3,247,632,144/42,300
  6. Step 6: Final answer
    x = 76,776.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.