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Finding the Third Proportional to 44,971 and 64,970

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Solution

The third proportional to 44,971 and 64,970 is: 93,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,971 : 64,970 = 64,970 : x
  2. Step 2: Convert to fraction form
    44,971/64,970 = 64,970/x
  3. Step 3: Cross multiply
    44,971x = 64,970 × 64,970
  4. Step 4: Simplify right side
    44,971x = 4,221,100,900
  5. Step 5: Solve for x
    x = 4,221,100,900/44,971
  6. Step 6: Final answer
    x = 93,862.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.