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Finding the Third Proportional to 32,999.25 and 70,088.25

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Solution

The third proportional to 32,999.25 and 70,088.25 is: 148,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999.25 : 70,088.25 = 70,088.25 : x
  2. Step 2: Convert to fraction form
    32,999.25/70,088.25 = 70,088.25/x
  3. Step 3: Cross multiply
    32,999.25x = 70,088.25 × 70,088.25
  4. Step 4: Simplify right side
    32,999.25x = 4,912,362,788.06
  5. Step 5: Solve for x
    x = 4,912,362,788.06/32,999.25
  6. Step 6: Final answer
    x = 148,862.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.