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Finding the Third Proportional to 32,824.31 and 46,870.13

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Solution

The third proportional to 32,824.31 and 46,870.13 is: 66,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824.31 : 46,870.13 = 46,870.13 : x
  2. Step 2: Convert to fraction form
    32,824.31/46,870.13 = 46,870.13/x
  3. Step 3: Cross multiply
    32,824.31x = 46,870.13 × 46,870.13
  4. Step 4: Simplify right side
    32,824.31x = 2,196,808,617.52
  5. Step 5: Solve for x
    x = 2,196,808,617.52/32,824.31
  6. Step 6: Final answer
    x = 66,926.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.