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Finding the Third Proportional to 32,613 and 70,896

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Solution

The third proportional to 32,613 and 70,896 is: 154,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,613 : 70,896 = 70,896 : x
  2. Step 2: Convert to fraction form
    32,613/70,896 = 70,896/x
  3. Step 3: Cross multiply
    32,613x = 70,896 × 70,896
  4. Step 4: Simplify right side
    32,613x = 5,026,242,816
  5. Step 5: Solve for x
    x = 5,026,242,816/32,613
  6. Step 6: Final answer
    x = 154,117.77

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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.