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Finding the Third Proportional to 32,952 and 70,899

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Solution

The third proportional to 32,952 and 70,899 is: 152,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952 : 70,899 = 70,899 : x
  2. Step 2: Convert to fraction form
    32,952/70,899 = 70,899/x
  3. Step 3: Cross multiply
    32,952x = 70,899 × 70,899
  4. Step 4: Simplify right side
    32,952x = 5,026,668,201
  5. Step 5: Solve for x
    x = 5,026,668,201/32,952
  6. Step 6: Final answer
    x = 152,545.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.