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Finding the Third Proportional to 48,759.50 and 77,580.50

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Solution

The third proportional to 48,759.50 and 77,580.50 is: 123,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,759.50 : 77,580.50 = 77,580.50 : x
  2. Step 2: Convert to fraction form
    48,759.50/77,580.50 = 77,580.50/x
  3. Step 3: Cross multiply
    48,759.50x = 77,580.50 × 77,580.50
  4. Step 4: Simplify right side
    48,759.50x = 6,018,733,980.25
  5. Step 5: Solve for x
    x = 6,018,733,980.25/48,759.50
  6. Step 6: Final answer
    x = 123,437.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.