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Finding the Third Proportional to 35,129.53 and 53,573.06

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Solution

The third proportional to 35,129.53 and 53,573.06 is: 81,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,129.53 : 53,573.06 = 53,573.06 : x
  2. Step 2: Convert to fraction form
    35,129.53/53,573.06 = 53,573.06/x
  3. Step 3: Cross multiply
    35,129.53x = 53,573.06 × 53,573.06
  4. Step 4: Simplify right side
    35,129.53x = 2,870,073,025.63
  5. Step 5: Solve for x
    x = 2,870,073,025.63/35,129.53
  6. Step 6: Final answer
    x = 81,699.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.