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Finding the Third Proportional to 10,072 and 15,580

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Solution

The third proportional to 10,072 and 15,580 is: 24,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 15,580 = 15,580 : x
  2. Step 2: Convert to fraction form
    10,072/15,580 = 15,580/x
  3. Step 3: Cross multiply
    10,072x = 15,580 × 15,580
  4. Step 4: Simplify right side
    10,072x = 242,736,400
  5. Step 5: Solve for x
    x = 242,736,400/10,072
  6. Step 6: Final answer
    x = 24,100.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.