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Finding the Third Proportional to 32,672 and 70,528

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Solution

The third proportional to 32,672 and 70,528 is: 152,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672 : 70,528 = 70,528 : x
  2. Step 2: Convert to fraction form
    32,672/70,528 = 70,528/x
  3. Step 3: Cross multiply
    32,672x = 70,528 × 70,528
  4. Step 4: Simplify right side
    32,672x = 4,974,198,784
  5. Step 5: Solve for x
    x = 4,974,198,784/32,672
  6. Step 6: Final answer
    x = 152,246.53

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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.