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Finding the Third Proportional to 32,292 and 48,470

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Solution

The third proportional to 32,292 and 48,470 is: 72,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 48,470 = 48,470 : x
  2. Step 2: Convert to fraction form
    32,292/48,470 = 48,470/x
  3. Step 3: Cross multiply
    32,292x = 48,470 × 48,470
  4. Step 4: Simplify right side
    32,292x = 2,349,340,900
  5. Step 5: Solve for x
    x = 2,349,340,900/32,292
  6. Step 6: Final answer
    x = 72,753.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.