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Finding the Third Proportional to 23,265 and 29,875.50

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Solution

The third proportional to 23,265 and 29,875.50 is: 38,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265 : 29,875.50 = 29,875.50 : x
  2. Step 2: Convert to fraction form
    23,265/29,875.50 = 29,875.50/x
  3. Step 3: Cross multiply
    23,265x = 29,875.50 × 29,875.50
  4. Step 4: Simplify right side
    23,265x = 892,545,500.25
  5. Step 5: Solve for x
    x = 892,545,500.25/23,265
  6. Step 6: Final answer
    x = 38,364.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.