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Finding the Third Proportional to 26,748 and 42,391.50

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Solution

The third proportional to 26,748 and 42,391.50 is: 67,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748 : 42,391.50 = 42,391.50 : x
  2. Step 2: Convert to fraction form
    26,748/42,391.50 = 42,391.50/x
  3. Step 3: Cross multiply
    26,748x = 42,391.50 × 42,391.50
  4. Step 4: Simplify right side
    26,748x = 1,797,039,272.25
  5. Step 5: Solve for x
    x = 1,797,039,272.25/26,748
  6. Step 6: Final answer
    x = 67,184.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.