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Finding the Third Proportional to 32,701.50 and 70,630

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Solution

The third proportional to 32,701.50 and 70,630 is: 152,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.50 : 70,630 = 70,630 : x
  2. Step 2: Convert to fraction form
    32,701.50/70,630 = 70,630/x
  3. Step 3: Cross multiply
    32,701.50x = 70,630 × 70,630
  4. Step 4: Simplify right side
    32,701.50x = 4,988,596,900
  5. Step 5: Solve for x
    x = 4,988,596,900/32,701.50
  6. Step 6: Final answer
    x = 152,549.48

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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.