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Finding the Third Proportional to 48,064 and 64,292

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Solution

The third proportional to 48,064 and 64,292 is: 85,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064 : 64,292 = 64,292 : x
  2. Step 2: Convert to fraction form
    48,064/64,292 = 64,292/x
  3. Step 3: Cross multiply
    48,064x = 64,292 × 64,292
  4. Step 4: Simplify right side
    48,064x = 4,133,461,264
  5. Step 5: Solve for x
    x = 4,133,461,264/48,064
  6. Step 6: Final answer
    x = 85,999.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.