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Finding the Third Proportional to 46,720 and 62,304

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Solution

The third proportional to 46,720 and 62,304 is: 83,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,720 : 62,304 = 62,304 : x
  2. Step 2: Convert to fraction form
    46,720/62,304 = 62,304/x
  3. Step 3: Cross multiply
    46,720x = 62,304 × 62,304
  4. Step 4: Simplify right side
    46,720x = 3,881,788,416
  5. Step 5: Solve for x
    x = 3,881,788,416/46,720
  6. Step 6: Final answer
    x = 83,086.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.