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Finding the Third Proportional to 14,532.75 and 24,971.63

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Solution

The third proportional to 14,532.75 and 24,971.63 is: 42,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.75 : 24,971.63 = 24,971.63 : x
  2. Step 2: Convert to fraction form
    14,532.75/24,971.63 = 24,971.63/x
  3. Step 3: Cross multiply
    14,532.75x = 24,971.63 × 24,971.63
  4. Step 4: Simplify right side
    14,532.75x = 623,582,055.14
  5. Step 5: Solve for x
    x = 623,582,055.14/14,532.75
  6. Step 6: Final answer
    x = 42,908.74

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.