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Finding the Third Proportional to 35,356 and 74,347.50

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Solution

The third proportional to 35,356 and 74,347.50 is: 156,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,356 : 74,347.50 = 74,347.50 : x
  2. Step 2: Convert to fraction form
    35,356/74,347.50 = 74,347.50/x
  3. Step 3: Cross multiply
    35,356x = 74,347.50 × 74,347.50
  4. Step 4: Simplify right side
    35,356x = 5,527,550,756.25
  5. Step 5: Solve for x
    x = 5,527,550,756.25/35,356
  6. Step 6: Final answer
    x = 156,339.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.