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Finding the Third Proportional to 32,358 and 69,440

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Solution

The third proportional to 32,358 and 69,440 is: 149,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358 : 69,440 = 69,440 : x
  2. Step 2: Convert to fraction form
    32,358/69,440 = 69,440/x
  3. Step 3: Cross multiply
    32,358x = 69,440 × 69,440
  4. Step 4: Simplify right side
    32,358x = 4,821,913,600
  5. Step 5: Solve for x
    x = 4,821,913,600/32,358
  6. Step 6: Final answer
    x = 149,017.66

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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.