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Finding the Third Proportional to 4,492 and 6,572

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Solution

The third proportional to 4,492 and 6,572 is: 9,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492 : 6,572 = 6,572 : x
  2. Step 2: Convert to fraction form
    4,492/6,572 = 6,572/x
  3. Step 3: Cross multiply
    4,492x = 6,572 × 6,572
  4. Step 4: Simplify right side
    4,492x = 43,191,184
  5. Step 5: Solve for x
    x = 43,191,184/4,492
  6. Step 6: Final answer
    x = 9,615.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.