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Finding the Third Proportional to 32,499 and 70,328.25

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Solution

The third proportional to 32,499 and 70,328.25 is: 152,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499 : 70,328.25 = 70,328.25 : x
  2. Step 2: Convert to fraction form
    32,499/70,328.25 = 70,328.25/x
  3. Step 3: Cross multiply
    32,499x = 70,328.25 × 70,328.25
  4. Step 4: Simplify right side
    32,499x = 4,946,062,748.06
  5. Step 5: Solve for x
    x = 4,946,062,748.06/32,499
  6. Step 6: Final answer
    x = 152,191.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.