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Finding the Third Proportional to 48,756.94 and 77,576.63

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Solution

The third proportional to 48,756.94 and 77,576.63 is: 123,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,756.94 : 77,576.63 = 77,576.63 : x
  2. Step 2: Convert to fraction form
    48,756.94/77,576.63 = 77,576.63/x
  3. Step 3: Cross multiply
    48,756.94x = 77,576.63 × 77,576.63
  4. Step 4: Simplify right side
    48,756.94x = 6,018,132,746.39
  5. Step 5: Solve for x
    x = 6,018,132,746.39/48,756.94
  6. Step 6: Final answer
    x = 123,431.31

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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.