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Finding the Third Proportional to 14,312 and 21,572

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Solution

The third proportional to 14,312 and 21,572 is: 32,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312 : 21,572 = 21,572 : x
  2. Step 2: Convert to fraction form
    14,312/21,572 = 21,572/x
  3. Step 3: Cross multiply
    14,312x = 21,572 × 21,572
  4. Step 4: Simplify right side
    14,312x = 465,351,184
  5. Step 5: Solve for x
    x = 465,351,184/14,312
  6. Step 6: Final answer
    x = 32,514.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.