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Finding the Third Proportional to 35,220 and 52,650

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Solution

The third proportional to 35,220 and 52,650 is: 78,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220 : 52,650 = 52,650 : x
  2. Step 2: Convert to fraction form
    35,220/52,650 = 52,650/x
  3. Step 3: Cross multiply
    35,220x = 52,650 × 52,650
  4. Step 4: Simplify right side
    35,220x = 2,772,022,500
  5. Step 5: Solve for x
    x = 2,772,022,500/35,220
  6. Step 6: Final answer
    x = 78,705.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.