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Finding the Third Proportional to 32,697 and 70,898.63

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Solution

The third proportional to 32,697 and 70,898.63 is: 153,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697 : 70,898.63 = 70,898.63 : x
  2. Step 2: Convert to fraction form
    32,697/70,898.63 = 70,898.63/x
  3. Step 3: Cross multiply
    32,697x = 70,898.63 × 70,898.63
  4. Step 4: Simplify right side
    32,697x = 5,026,615,026.89
  5. Step 5: Solve for x
    x = 5,026,615,026.89/32,697
  6. Step 6: Final answer
    x = 153,733.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.