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Finding the Third Proportional to 38,643 and 61,236

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Solution

The third proportional to 38,643 and 61,236 is: 97,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643 : 61,236 = 61,236 : x
  2. Step 2: Convert to fraction form
    38,643/61,236 = 61,236/x
  3. Step 3: Cross multiply
    38,643x = 61,236 × 61,236
  4. Step 4: Simplify right side
    38,643x = 3,749,847,696
  5. Step 5: Solve for x
    x = 3,749,847,696/38,643
  6. Step 6: Final answer
    x = 97,038.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.