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Finding the Third Proportional to 32,490 and 70,852

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Solution

The third proportional to 32,490 and 70,852 is: 154,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490 : 70,852 = 70,852 : x
  2. Step 2: Convert to fraction form
    32,490/70,852 = 70,852/x
  3. Step 3: Cross multiply
    32,490x = 70,852 × 70,852
  4. Step 4: Simplify right side
    32,490x = 5,020,005,904
  5. Step 5: Solve for x
    x = 5,020,005,904/32,490
  6. Step 6: Final answer
    x = 154,509.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.