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Finding the Third Proportional to 32,730 and 70,692

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Solution

The third proportional to 32,730 and 70,692 is: 152,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730 : 70,692 = 70,692 : x
  2. Step 2: Convert to fraction form
    32,730/70,692 = 70,692/x
  3. Step 3: Cross multiply
    32,730x = 70,692 × 70,692
  4. Step 4: Simplify right side
    32,730x = 4,997,358,864
  5. Step 5: Solve for x
    x = 4,997,358,864/32,730
  6. Step 6: Final answer
    x = 152,684.35

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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.