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Finding the Third Proportional to 14,941.13 and 32,356.13

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Solution

The third proportional to 14,941.13 and 32,356.13 is: 70,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,941.13 : 32,356.13 = 32,356.13 : x
  2. Step 2: Convert to fraction form
    14,941.13/32,356.13 = 32,356.13/x
  3. Step 3: Cross multiply
    14,941.13x = 32,356.13 × 32,356.13
  4. Step 4: Simplify right side
    14,941.13x = 1,046,918,825.02
  5. Step 5: Solve for x
    x = 1,046,918,825.02/14,941.13
  6. Step 6: Final answer
    x = 70,069.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.