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Finding the Third Proportional to 14,715.84 and 32,315.63

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Solution

The third proportional to 14,715.84 and 32,315.63 is: 70,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.84 : 32,315.63 = 32,315.63 : x
  2. Step 2: Convert to fraction form
    14,715.84/32,315.63 = 32,315.63/x
  3. Step 3: Cross multiply
    14,715.84x = 32,315.63 × 32,315.63
  4. Step 4: Simplify right side
    14,715.84x = 1,044,299,619.14
  5. Step 5: Solve for x
    x = 1,044,299,619.14/14,715.84
  6. Step 6: Final answer
    x = 70,964.30

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