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Finding the Third Proportional to 65,417.63 and 75,324.94

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Solution

The third proportional to 65,417.63 and 75,324.94 is: 86,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,417.63 : 75,324.94 = 75,324.94 : x
  2. Step 2: Convert to fraction form
    65,417.63/75,324.94 = 75,324.94/x
  3. Step 3: Cross multiply
    65,417.63x = 75,324.94 × 75,324.94
  4. Step 4: Simplify right side
    65,417.63x = 5,673,846,209.38
  5. Step 5: Solve for x
    x = 5,673,846,209.38/65,417.63
  6. Step 6: Final answer
    x = 86,732.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.