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Finding the Third Proportional to 14,457.51 and 21,565.92

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Solution

The third proportional to 14,457.51 and 21,565.92 is: 32,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.51 : 21,565.92 = 21,565.92 : x
  2. Step 2: Convert to fraction form
    14,457.51/21,565.92 = 21,565.92/x
  3. Step 3: Cross multiply
    14,457.51x = 21,565.92 × 21,565.92
  4. Step 4: Simplify right side
    14,457.51x = 465,089,065.30
  5. Step 5: Solve for x
    x = 465,089,065.30/14,457.51
  6. Step 6: Final answer
    x = 32,169.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.