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Finding the Third Proportional to 32,348 and 49,070

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Solution

The third proportional to 32,348 and 49,070 is: 74,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348 : 49,070 = 49,070 : x
  2. Step 2: Convert to fraction form
    32,348/49,070 = 49,070/x
  3. Step 3: Cross multiply
    32,348x = 49,070 × 49,070
  4. Step 4: Simplify right side
    32,348x = 2,407,864,900
  5. Step 5: Solve for x
    x = 2,407,864,900/32,348
  6. Step 6: Final answer
    x = 74,436.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.