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Finding the Third Proportional to 40,569 and 59,283.75

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Solution

The third proportional to 40,569 and 59,283.75 is: 86,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569 : 59,283.75 = 59,283.75 : x
  2. Step 2: Convert to fraction form
    40,569/59,283.75 = 59,283.75/x
  3. Step 3: Cross multiply
    40,569x = 59,283.75 × 59,283.75
  4. Step 4: Simplify right side
    40,569x = 3,514,563,014.06
  5. Step 5: Solve for x
    x = 3,514,563,014.06/40,569
  6. Step 6: Final answer
    x = 86,631.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.