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Finding the Third Proportional to 14,050 and 32,527

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Solution

The third proportional to 14,050 and 32,527 is: 75,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050 : 32,527 = 32,527 : x
  2. Step 2: Convert to fraction form
    14,050/32,527 = 32,527/x
  3. Step 3: Cross multiply
    14,050x = 32,527 × 32,527
  4. Step 4: Simplify right side
    14,050x = 1,058,005,729
  5. Step 5: Solve for x
    x = 1,058,005,729/14,050
  6. Step 6: Final answer
    x = 75,302.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.