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Finding the Third Proportional to 40,146.19 and 54,077.06

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Solution

The third proportional to 40,146.19 and 54,077.06 is: 72,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146.19 : 54,077.06 = 54,077.06 : x
  2. Step 2: Convert to fraction form
    40,146.19/54,077.06 = 54,077.06/x
  3. Step 3: Cross multiply
    40,146.19x = 54,077.06 × 54,077.06
  4. Step 4: Simplify right side
    40,146.19x = 2,924,328,688.63
  5. Step 5: Solve for x
    x = 2,924,328,688.63/40,146.19
  6. Step 6: Final answer
    x = 72,842.00

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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.