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Finding the Third Proportional to 43,223 and 63,840

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Solution

The third proportional to 43,223 and 63,840 is: 94,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,223 : 63,840 = 63,840 : x
  2. Step 2: Convert to fraction form
    43,223/63,840 = 63,840/x
  3. Step 3: Cross multiply
    43,223x = 63,840 × 63,840
  4. Step 4: Simplify right side
    43,223x = 4,075,545,600
  5. Step 5: Solve for x
    x = 4,075,545,600/43,223
  6. Step 6: Final answer
    x = 94,291.13

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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.