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Finding the Third Proportional to 24,572 and 53,000

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Solution

The third proportional to 24,572 and 53,000 is: 114,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572 : 53,000 = 53,000 : x
  2. Step 2: Convert to fraction form
    24,572/53,000 = 53,000/x
  3. Step 3: Cross multiply
    24,572x = 53,000 × 53,000
  4. Step 4: Simplify right side
    24,572x = 2,809,000,000
  5. Step 5: Solve for x
    x = 2,809,000,000/24,572
  6. Step 6: Final answer
    x = 114,317.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.