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Finding the Third Proportional to 42,620 and 64,521

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Solution

The third proportional to 42,620 and 64,521 is: 97,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,620 : 64,521 = 64,521 : x
  2. Step 2: Convert to fraction form
    42,620/64,521 = 64,521/x
  3. Step 3: Cross multiply
    42,620x = 64,521 × 64,521
  4. Step 4: Simplify right side
    42,620x = 4,162,959,441
  5. Step 5: Solve for x
    x = 4,162,959,441/42,620
  6. Step 6: Final answer
    x = 97,676.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.