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Finding the Third Proportional to 27,578.81 and 59,530.78

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Solution

The third proportional to 27,578.81 and 59,530.78 is: 128,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.81 : 59,530.78 = 59,530.78 : x
  2. Step 2: Convert to fraction form
    27,578.81/59,530.78 = 59,530.78/x
  3. Step 3: Cross multiply
    27,578.81x = 59,530.78 × 59,530.78
  4. Step 4: Simplify right side
    27,578.81x = 3,543,913,916.24
  5. Step 5: Solve for x
    x = 3,543,913,916.24/27,578.81
  6. Step 6: Final answer
    x = 128,501.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.