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Finding the Third Proportional to 14,700 and 32,315

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Solution

The third proportional to 14,700 and 32,315 is: 71,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700 : 32,315 = 32,315 : x
  2. Step 2: Convert to fraction form
    14,700/32,315 = 32,315/x
  3. Step 3: Cross multiply
    14,700x = 32,315 × 32,315
  4. Step 4: Simplify right side
    14,700x = 1,044,259,225
  5. Step 5: Solve for x
    x = 1,044,259,225/14,700
  6. Step 6: Final answer
    x = 71,038.04

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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.