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Finding the Third Proportional to 15,572 and 23,303

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Solution

The third proportional to 15,572 and 23,303 is: 34,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,572 : 23,303 = 23,303 : x
  2. Step 2: Convert to fraction form
    15,572/23,303 = 23,303/x
  3. Step 3: Cross multiply
    15,572x = 23,303 × 23,303
  4. Step 4: Simplify right side
    15,572x = 543,029,809
  5. Step 5: Solve for x
    x = 543,029,809/15,572
  6. Step 6: Final answer
    x = 34,872.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.