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Finding the Third Proportional to 53,433.38 and 83,384.94

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Solution

The third proportional to 53,433.38 and 83,384.94 is: 130,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,433.38 : 83,384.94 = 83,384.94 : x
  2. Step 2: Convert to fraction form
    53,433.38/83,384.94 = 83,384.94/x
  3. Step 3: Cross multiply
    53,433.38x = 83,384.94 × 83,384.94
  4. Step 4: Simplify right side
    53,433.38x = 6,953,047,801.88
  5. Step 5: Solve for x
    x = 6,953,047,801.88/53,433.38
  6. Step 6: Final answer
    x = 130,125.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.