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Finding the Third Proportional to 48,444 and 65,430

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Solution

The third proportional to 48,444 and 65,430 is: 88,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,444 : 65,430 = 65,430 : x
  2. Step 2: Convert to fraction form
    48,444/65,430 = 65,430/x
  3. Step 3: Cross multiply
    48,444x = 65,430 × 65,430
  4. Step 4: Simplify right side
    48,444x = 4,281,084,900
  5. Step 5: Solve for x
    x = 4,281,084,900/48,444
  6. Step 6: Final answer
    x = 88,371.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.