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Finding the Third Proportional to 54,038.63 and 86,328.38

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Solution

The third proportional to 54,038.63 and 86,328.38 is: 137,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038.63 : 86,328.38 = 86,328.38 : x
  2. Step 2: Convert to fraction form
    54,038.63/86,328.38 = 86,328.38/x
  3. Step 3: Cross multiply
    54,038.63x = 86,328.38 × 86,328.38
  4. Step 4: Simplify right side
    54,038.63x = 7,452,588,330.14
  5. Step 5: Solve for x
    x = 7,452,588,330.14/54,038.63
  6. Step 6: Final answer
    x = 137,912.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.