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Finding the Third Proportional to 48,646.50 and 75,117

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Solution

The third proportional to 48,646.50 and 75,117 is: 115,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646.50 : 75,117 = 75,117 : x
  2. Step 2: Convert to fraction form
    48,646.50/75,117 = 75,117/x
  3. Step 3: Cross multiply
    48,646.50x = 75,117 × 75,117
  4. Step 4: Simplify right side
    48,646.50x = 5,642,563,689
  5. Step 5: Solve for x
    x = 5,642,563,689/48,646.50
  6. Step 6: Final answer
    x = 115,991.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.