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Finding the Third Proportional to 32,045.63 and 70,122.38

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Solution

The third proportional to 32,045.63 and 70,122.38 is: 153,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.63 : 70,122.38 = 70,122.38 : x
  2. Step 2: Convert to fraction form
    32,045.63/70,122.38 = 70,122.38/x
  3. Step 3: Cross multiply
    32,045.63x = 70,122.38 × 70,122.38
  4. Step 4: Simplify right side
    32,045.63x = 4,917,147,475.64
  5. Step 5: Solve for x
    x = 4,917,147,475.64/32,045.63
  6. Step 6: Final answer
    x = 153,442.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.