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Finding the Third Proportional to 44,506 and 62,223

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Solution

The third proportional to 44,506 and 62,223 is: 86,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,506 : 62,223 = 62,223 : x
  2. Step 2: Convert to fraction form
    44,506/62,223 = 62,223/x
  3. Step 3: Cross multiply
    44,506x = 62,223 × 62,223
  4. Step 4: Simplify right side
    44,506x = 3,871,701,729
  5. Step 5: Solve for x
    x = 3,871,701,729/44,506
  6. Step 6: Final answer
    x = 86,992.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.