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Finding the Third Proportional to 27,263.46 and 42,111.14

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Solution

The third proportional to 27,263.46 and 42,111.14 is: 65,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,263.46 : 42,111.14 = 42,111.14 : x
  2. Step 2: Convert to fraction form
    27,263.46/42,111.14 = 42,111.14/x
  3. Step 3: Cross multiply
    27,263.46x = 42,111.14 × 42,111.14
  4. Step 4: Simplify right side
    27,263.46x = 1,773,348,164.74
  5. Step 5: Solve for x
    x = 1,773,348,164.74/27,263.46
  6. Step 6: Final answer
    x = 65,044.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.