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Finding the Third Proportional to 4,582 and 6,461

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Solution

The third proportional to 4,582 and 6,461 is: 9,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582 : 6,461 = 6,461 : x
  2. Step 2: Convert to fraction form
    4,582/6,461 = 6,461/x
  3. Step 3: Cross multiply
    4,582x = 6,461 × 6,461
  4. Step 4: Simplify right side
    4,582x = 41,744,521
  5. Step 5: Solve for x
    x = 41,744,521/4,582
  6. Step 6: Final answer
    x = 9,110.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.