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Finding the Third Proportional to 48,070 and 65,948

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Solution

The third proportional to 48,070 and 65,948 is: 90,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 65,948 = 65,948 : x
  2. Step 2: Convert to fraction form
    48,070/65,948 = 65,948/x
  3. Step 3: Cross multiply
    48,070x = 65,948 × 65,948
  4. Step 4: Simplify right side
    48,070x = 4,349,138,704
  5. Step 5: Solve for x
    x = 4,349,138,704/48,070
  6. Step 6: Final answer
    x = 90,475.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.