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Finding the Third Proportional to 32,495 and 69,091

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Solution

The third proportional to 32,495 and 69,091 is: 146,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495 : 69,091 = 69,091 : x
  2. Step 2: Convert to fraction form
    32,495/69,091 = 69,091/x
  3. Step 3: Cross multiply
    32,495x = 69,091 × 69,091
  4. Step 4: Simplify right side
    32,495x = 4,773,566,281
  5. Step 5: Solve for x
    x = 4,773,566,281/32,495
  6. Step 6: Final answer
    x = 146,901.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.