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Finding the Third Proportional to 14,536 and 32,362

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Solution

The third proportional to 14,536 and 32,362 is: 72,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536 : 32,362 = 32,362 : x
  2. Step 2: Convert to fraction form
    14,536/32,362 = 32,362/x
  3. Step 3: Cross multiply
    14,536x = 32,362 × 32,362
  4. Step 4: Simplify right side
    14,536x = 1,047,299,044
  5. Step 5: Solve for x
    x = 1,047,299,044/14,536
  6. Step 6: Final answer
    x = 72,048.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.