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Finding the Third Proportional to 39,457 and 58,585.50

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Solution

The third proportional to 39,457 and 58,585.50 is: 86,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,457 : 58,585.50 = 58,585.50 : x
  2. Step 2: Convert to fraction form
    39,457/58,585.50 = 58,585.50/x
  3. Step 3: Cross multiply
    39,457x = 58,585.50 × 58,585.50
  4. Step 4: Simplify right side
    39,457x = 3,432,260,810.25
  5. Step 5: Solve for x
    x = 3,432,260,810.25/39,457
  6. Step 6: Final answer
    x = 86,987.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.