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Finding the Third Proportional to 15,746 and 32,220

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Solution

The third proportional to 15,746 and 32,220 is: 65,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746 : 32,220 = 32,220 : x
  2. Step 2: Convert to fraction form
    15,746/32,220 = 32,220/x
  3. Step 3: Cross multiply
    15,746x = 32,220 × 32,220
  4. Step 4: Simplify right side
    15,746x = 1,038,128,400
  5. Step 5: Solve for x
    x = 1,038,128,400/15,746
  6. Step 6: Final answer
    x = 65,929.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.