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Finding the Third Proportional to 38,160 and 56,097

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Solution

The third proportional to 38,160 and 56,097 is: 82,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,160 : 56,097 = 56,097 : x
  2. Step 2: Convert to fraction form
    38,160/56,097 = 56,097/x
  3. Step 3: Cross multiply
    38,160x = 56,097 × 56,097
  4. Step 4: Simplify right side
    38,160x = 3,146,873,409
  5. Step 5: Solve for x
    x = 3,146,873,409/38,160
  6. Step 6: Final answer
    x = 82,465.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.