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Finding the Third Proportional to 14,370 and 31,652

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Solution

The third proportional to 14,370 and 31,652 is: 69,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370 : 31,652 = 31,652 : x
  2. Step 2: Convert to fraction form
    14,370/31,652 = 31,652/x
  3. Step 3: Cross multiply
    14,370x = 31,652 × 31,652
  4. Step 4: Simplify right side
    14,370x = 1,001,849,104
  5. Step 5: Solve for x
    x = 1,001,849,104/14,370
  6. Step 6: Final answer
    x = 69,718.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.