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Finding the Third Proportional to 10,152 and 15,712

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Solution

The third proportional to 10,152 and 15,712 is: 24,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 15,712 = 15,712 : x
  2. Step 2: Convert to fraction form
    10,152/15,712 = 15,712/x
  3. Step 3: Cross multiply
    10,152x = 15,712 × 15,712
  4. Step 4: Simplify right side
    10,152x = 246,866,944
  5. Step 5: Solve for x
    x = 246,866,944/10,152
  6. Step 6: Final answer
    x = 24,317.07

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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.