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Finding the Third Proportional to 44,712 and 59,319

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Solution

The third proportional to 44,712 and 59,319 is: 78,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,712 : 59,319 = 59,319 : x
  2. Step 2: Convert to fraction form
    44,712/59,319 = 59,319/x
  3. Step 3: Cross multiply
    44,712x = 59,319 × 59,319
  4. Step 4: Simplify right side
    44,712x = 3,518,743,761
  5. Step 5: Solve for x
    x = 3,518,743,761/44,712
  6. Step 6: Final answer
    x = 78,697.97

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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.