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Finding the Third Proportional to 32,746.50 and 70,709.25

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Solution

The third proportional to 32,746.50 and 70,709.25 is: 152,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.50 : 70,709.25 = 70,709.25 : x
  2. Step 2: Convert to fraction form
    32,746.50/70,709.25 = 70,709.25/x
  3. Step 3: Cross multiply
    32,746.50x = 70,709.25 × 70,709.25
  4. Step 4: Simplify right side
    32,746.50x = 4,999,798,035.56
  5. Step 5: Solve for x
    x = 4,999,798,035.56/32,746.50
  6. Step 6: Final answer
    x = 152,681.91

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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.