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Finding the Third Proportional to 38,708.75 and 56,569.50

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Solution

The third proportional to 38,708.75 and 56,569.50 is: 82,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.75 : 56,569.50 = 56,569.50 : x
  2. Step 2: Convert to fraction form
    38,708.75/56,569.50 = 56,569.50/x
  3. Step 3: Cross multiply
    38,708.75x = 56,569.50 × 56,569.50
  4. Step 4: Simplify right side
    38,708.75x = 3,200,108,330.25
  5. Step 5: Solve for x
    x = 3,200,108,330.25/38,708.75
  6. Step 6: Final answer
    x = 82,671.45

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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.