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Finding the Third Proportional to 29,913.25 and 46,312.25

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Solution

The third proportional to 29,913.25 and 46,312.25 is: 71,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.25 : 46,312.25 = 46,312.25 : x
  2. Step 2: Convert to fraction form
    29,913.25/46,312.25 = 46,312.25/x
  3. Step 3: Cross multiply
    29,913.25x = 46,312.25 × 46,312.25
  4. Step 4: Simplify right side
    29,913.25x = 2,144,824,500.06
  5. Step 5: Solve for x
    x = 2,144,824,500.06/29,913.25
  6. Step 6: Final answer
    x = 71,701.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.