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Finding the Third Proportional to 53,048.25 and 70,823.25

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Solution

The third proportional to 53,048.25 and 70,823.25 is: 94,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048.25 : 70,823.25 = 70,823.25 : x
  2. Step 2: Convert to fraction form
    53,048.25/70,823.25 = 70,823.25/x
  3. Step 3: Cross multiply
    53,048.25x = 70,823.25 × 70,823.25
  4. Step 4: Simplify right side
    53,048.25x = 5,015,932,740.56
  5. Step 5: Solve for x
    x = 5,015,932,740.56/53,048.25
  6. Step 6: Final answer
    x = 94,554.16

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.