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Finding the Third Proportional to 7,752 and 13,712

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Solution

The third proportional to 7,752 and 13,712 is: 24,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752 : 13,712 = 13,712 : x
  2. Step 2: Convert to fraction form
    7,752/13,712 = 13,712/x
  3. Step 3: Cross multiply
    7,752x = 13,712 × 13,712
  4. Step 4: Simplify right side
    7,752x = 188,018,944
  5. Step 5: Solve for x
    x = 188,018,944/7,752
  6. Step 6: Final answer
    x = 24,254.25

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.