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Finding the Third Proportional to 10,010 and 15,582

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Solution

The third proportional to 10,010 and 15,582 is: 24,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010 : 15,582 = 15,582 : x
  2. Step 2: Convert to fraction form
    10,010/15,582 = 15,582/x
  3. Step 3: Cross multiply
    10,010x = 15,582 × 15,582
  4. Step 4: Simplify right side
    10,010x = 242,798,724
  5. Step 5: Solve for x
    x = 242,798,724/10,010
  6. Step 6: Final answer
    x = 24,255.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.