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Finding the Third Proportional to 18,735 and 23,686.50

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Solution

The third proportional to 18,735 and 23,686.50 is: 29,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735 : 23,686.50 = 23,686.50 : x
  2. Step 2: Convert to fraction form
    18,735/23,686.50 = 23,686.50/x
  3. Step 3: Cross multiply
    18,735x = 23,686.50 × 23,686.50
  4. Step 4: Simplify right side
    18,735x = 561,050,282.25
  5. Step 5: Solve for x
    x = 561,050,282.25/18,735
  6. Step 6: Final answer
    x = 29,946.64

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.