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Finding the Third Proportional to 32,713 and 70,657

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Solution

The third proportional to 32,713 and 70,657 is: 152,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713 : 70,657 = 70,657 : x
  2. Step 2: Convert to fraction form
    32,713/70,657 = 70,657/x
  3. Step 3: Cross multiply
    32,713x = 70,657 × 70,657
  4. Step 4: Simplify right side
    32,713x = 4,992,411,649
  5. Step 5: Solve for x
    x = 4,992,411,649/32,713
  6. Step 6: Final answer
    x = 152,612.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.