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Finding the Third Proportional to 44,822 and 65,130

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Solution

The third proportional to 44,822 and 65,130 is: 94,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,822 : 65,130 = 65,130 : x
  2. Step 2: Convert to fraction form
    44,822/65,130 = 65,130/x
  3. Step 3: Cross multiply
    44,822x = 65,130 × 65,130
  4. Step 4: Simplify right side
    44,822x = 4,241,916,900
  5. Step 5: Solve for x
    x = 4,241,916,900/44,822
  6. Step 6: Final answer
    x = 94,639.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.