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Finding the Third Proportional to 24,315 and 32,316

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Solution

The third proportional to 24,315 and 32,316 is: 42,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315 : 32,316 = 32,316 : x
  2. Step 2: Convert to fraction form
    24,315/32,316 = 32,316/x
  3. Step 3: Cross multiply
    24,315x = 32,316 × 32,316
  4. Step 4: Simplify right side
    24,315x = 1,044,323,856
  5. Step 5: Solve for x
    x = 1,044,323,856/24,315
  6. Step 6: Final answer
    x = 42,949.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.