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Finding the Third Proportional to 9,506 and 14,630

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Solution

The third proportional to 9,506 and 14,630 is: 22,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506 : 14,630 = 14,630 : x
  2. Step 2: Convert to fraction form
    9,506/14,630 = 14,630/x
  3. Step 3: Cross multiply
    9,506x = 14,630 × 14,630
  4. Step 4: Simplify right side
    9,506x = 214,036,900
  5. Step 5: Solve for x
    x = 214,036,900/9,506
  6. Step 6: Final answer
    x = 22,515.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.