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Finding the Third Proportional to 48,714.75 and 77,574.75

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Solution

The third proportional to 48,714.75 and 77,574.75 is: 123,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,714.75 : 77,574.75 = 77,574.75 : x
  2. Step 2: Convert to fraction form
    48,714.75/77,574.75 = 77,574.75/x
  3. Step 3: Cross multiply
    48,714.75x = 77,574.75 × 77,574.75
  4. Step 4: Simplify right side
    48,714.75x = 6,017,841,837.56
  5. Step 5: Solve for x
    x = 6,017,841,837.56/48,714.75
  6. Step 6: Final answer
    x = 123,532.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.