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Finding the Third Proportional to 15,572 and 24,152

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Solution

The third proportional to 15,572 and 24,152 is: 37,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,572 : 24,152 = 24,152 : x
  2. Step 2: Convert to fraction form
    15,572/24,152 = 24,152/x
  3. Step 3: Cross multiply
    15,572x = 24,152 × 24,152
  4. Step 4: Simplify right side
    15,572x = 583,319,104
  5. Step 5: Solve for x
    x = 583,319,104/15,572
  6. Step 6: Final answer
    x = 37,459.49

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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.