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Finding the Third Proportional to 48,497.06 and 74,903.06

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Solution

The third proportional to 48,497.06 and 74,903.06 is: 115,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,497.06 : 74,903.06 = 74,903.06 : x
  2. Step 2: Convert to fraction form
    48,497.06/74,903.06 = 74,903.06/x
  3. Step 3: Cross multiply
    48,497.06x = 74,903.06 × 74,903.06
  4. Step 4: Simplify right side
    48,497.06x = 5,610,468,771.88
  5. Step 5: Solve for x
    x = 5,610,468,771.88/48,497.06
  6. Step 6: Final answer
    x = 115,686.78

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Why These Related Problems?

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