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Finding the Third Proportional to 35,220 and 52,646

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Solution

The third proportional to 35,220 and 52,646 is: 78,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220 : 52,646 = 52,646 : x
  2. Step 2: Convert to fraction form
    35,220/52,646 = 52,646/x
  3. Step 3: Cross multiply
    35,220x = 52,646 × 52,646
  4. Step 4: Simplify right side
    35,220x = 2,771,601,316
  5. Step 5: Solve for x
    x = 2,771,601,316/35,220
  6. Step 6: Final answer
    x = 78,693.96

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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.