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Finding the Third Proportional to 30,536 and 43,585

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Solution

The third proportional to 30,536 and 43,585 is: 62,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536 : 43,585 = 43,585 : x
  2. Step 2: Convert to fraction form
    30,536/43,585 = 43,585/x
  3. Step 3: Cross multiply
    30,536x = 43,585 × 43,585
  4. Step 4: Simplify right side
    30,536x = 1,899,652,225
  5. Step 5: Solve for x
    x = 1,899,652,225/30,536
  6. Step 6: Final answer
    x = 62,210.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.