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Finding the Third Proportional to 44,437.50 and 70,670.50

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Solution

The third proportional to 44,437.50 and 70,670.50 is: 112,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,437.50 : 70,670.50 = 70,670.50 : x
  2. Step 2: Convert to fraction form
    44,437.50/70,670.50 = 70,670.50/x
  3. Step 3: Cross multiply
    44,437.50x = 70,670.50 × 70,670.50
  4. Step 4: Simplify right side
    44,437.50x = 4,994,319,570.25
  5. Step 5: Solve for x
    x = 4,994,319,570.25/44,437.50
  6. Step 6: Final answer
    x = 112,389.75

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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.