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Finding the Third Proportional to 44,319 and 65,783

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Solution

The third proportional to 44,319 and 65,783 is: 97,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,319 : 65,783 = 65,783 : x
  2. Step 2: Convert to fraction form
    44,319/65,783 = 65,783/x
  3. Step 3: Cross multiply
    44,319x = 65,783 × 65,783
  4. Step 4: Simplify right side
    44,319x = 4,327,403,089
  5. Step 5: Solve for x
    x = 4,327,403,089/44,319
  6. Step 6: Final answer
    x = 97,642.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.