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Finding the Third Proportional to 53,972.58 and 75,474.28

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Solution

The third proportional to 53,972.58 and 75,474.28 is: 105,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,972.58 : 75,474.28 = 75,474.28 : x
  2. Step 2: Convert to fraction form
    53,972.58/75,474.28 = 75,474.28/x
  3. Step 3: Cross multiply
    53,972.58x = 75,474.28 × 75,474.28
  4. Step 4: Simplify right side
    53,972.58x = 5,696,367,130.20
  5. Step 5: Solve for x
    x = 5,696,367,130.20/53,972.58
  6. Step 6: Final answer
    x = 105,541.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.