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Finding the Third Proportional to 32,421 and 70,521.75

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Solution

The third proportional to 32,421 and 70,521.75 is: 153,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421 : 70,521.75 = 70,521.75 : x
  2. Step 2: Convert to fraction form
    32,421/70,521.75 = 70,521.75/x
  3. Step 3: Cross multiply
    32,421x = 70,521.75 × 70,521.75
  4. Step 4: Simplify right side
    32,421x = 4,973,317,223.06
  5. Step 5: Solve for x
    x = 4,973,317,223.06/32,421
  6. Step 6: Final answer
    x = 153,398.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.