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Finding the Third Proportional to 29,712 and 64,332

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Solution

The third proportional to 29,712 and 64,332 is: 139,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 64,332 = 64,332 : x
  2. Step 2: Convert to fraction form
    29,712/64,332 = 64,332/x
  3. Step 3: Cross multiply
    29,712x = 64,332 × 64,332
  4. Step 4: Simplify right side
    29,712x = 4,138,606,224
  5. Step 5: Solve for x
    x = 4,138,606,224/29,712
  6. Step 6: Final answer
    x = 139,290.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.