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Finding the Third Proportional to 32,710 and 47,896

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Solution

The third proportional to 32,710 and 47,896 is: 70,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710 : 47,896 = 47,896 : x
  2. Step 2: Convert to fraction form
    32,710/47,896 = 47,896/x
  3. Step 3: Cross multiply
    32,710x = 47,896 × 47,896
  4. Step 4: Simplify right side
    32,710x = 2,294,026,816
  5. Step 5: Solve for x
    x = 2,294,026,816/32,710
  6. Step 6: Final answer
    x = 70,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.