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Finding the Third Proportional to 23,706 and 36,585

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Solution

The third proportional to 23,706 and 36,585 is: 56,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706 : 36,585 = 36,585 : x
  2. Step 2: Convert to fraction form
    23,706/36,585 = 36,585/x
  3. Step 3: Cross multiply
    23,706x = 36,585 × 36,585
  4. Step 4: Simplify right side
    23,706x = 1,338,462,225
  5. Step 5: Solve for x
    x = 1,338,462,225/23,706
  6. Step 6: Final answer
    x = 56,460.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.