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Finding the Third Proportional to 4,658 and 8,572

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Solution

The third proportional to 4,658 and 8,572 is: 15,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 8,572 = 8,572 : x
  2. Step 2: Convert to fraction form
    4,658/8,572 = 8,572/x
  3. Step 3: Cross multiply
    4,658x = 8,572 × 8,572
  4. Step 4: Simplify right side
    4,658x = 73,479,184
  5. Step 5: Solve for x
    x = 73,479,184/4,658
  6. Step 6: Final answer
    x = 15,774.84

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.