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Finding the Third Proportional to 32,428 and 70,040

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Solution

The third proportional to 32,428 and 70,040 is: 151,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428 : 70,040 = 70,040 : x
  2. Step 2: Convert to fraction form
    32,428/70,040 = 70,040/x
  3. Step 3: Cross multiply
    32,428x = 70,040 × 70,040
  4. Step 4: Simplify right side
    32,428x = 4,905,601,600
  5. Step 5: Solve for x
    x = 4,905,601,600/32,428
  6. Step 6: Final answer
    x = 151,276.72

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Why These Related Problems?

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