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Finding the Third Proportional to 35,127 and 53,419.50

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Solution

The third proportional to 35,127 and 53,419.50 is: 81,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,127 : 53,419.50 = 53,419.50 : x
  2. Step 2: Convert to fraction form
    35,127/53,419.50 = 53,419.50/x
  3. Step 3: Cross multiply
    35,127x = 53,419.50 × 53,419.50
  4. Step 4: Simplify right side
    35,127x = 2,853,642,980.25
  5. Step 5: Solve for x
    x = 2,853,642,980.25/35,127
  6. Step 6: Final answer
    x = 81,237.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.