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Finding the Third Proportional to 13,973.50 and 29,946.50

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Solution

The third proportional to 13,973.50 and 29,946.50 is: 64,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.50 : 29,946.50 = 29,946.50 : x
  2. Step 2: Convert to fraction form
    13,973.50/29,946.50 = 29,946.50/x
  3. Step 3: Cross multiply
    13,973.50x = 29,946.50 × 29,946.50
  4. Step 4: Simplify right side
    13,973.50x = 896,792,862.25
  5. Step 5: Solve for x
    x = 896,792,862.25/13,973.50
  6. Step 6: Final answer
    x = 64,178.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.