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Finding the Third Proportional to 27,346.50 and 42,840

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Solution

The third proportional to 27,346.50 and 42,840 is: 67,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.50 : 42,840 = 42,840 : x
  2. Step 2: Convert to fraction form
    27,346.50/42,840 = 42,840/x
  3. Step 3: Cross multiply
    27,346.50x = 42,840 × 42,840
  4. Step 4: Simplify right side
    27,346.50x = 1,835,265,600
  5. Step 5: Solve for x
    x = 1,835,265,600/27,346.50
  6. Step 6: Final answer
    x = 67,111.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.