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Finding the Third Proportional to 29,776 and 50,712

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Solution

The third proportional to 29,776 and 50,712 is: 86,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776 : 50,712 = 50,712 : x
  2. Step 2: Convert to fraction form
    29,776/50,712 = 50,712/x
  3. Step 3: Cross multiply
    29,776x = 50,712 × 50,712
  4. Step 4: Simplify right side
    29,776x = 2,571,706,944
  5. Step 5: Solve for x
    x = 2,571,706,944/29,776
  6. Step 6: Final answer
    x = 86,368.45

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.