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Finding the Third Proportional to 9,582 and 21,060

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Solution

The third proportional to 9,582 and 21,060 is: 46,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 21,060 = 21,060 : x
  2. Step 2: Convert to fraction form
    9,582/21,060 = 21,060/x
  3. Step 3: Cross multiply
    9,582x = 21,060 × 21,060
  4. Step 4: Simplify right side
    9,582x = 443,523,600
  5. Step 5: Solve for x
    x = 443,523,600/9,582
  6. Step 6: Final answer
    x = 46,287.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.