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Finding the Third Proportional to 14,297 and 29,570.50

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Solution

The third proportional to 14,297 and 29,570.50 is: 61,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297 : 29,570.50 = 29,570.50 : x
  2. Step 2: Convert to fraction form
    14,297/29,570.50 = 29,570.50/x
  3. Step 3: Cross multiply
    14,297x = 29,570.50 × 29,570.50
  4. Step 4: Simplify right side
    14,297x = 874,414,470.25
  5. Step 5: Solve for x
    x = 874,414,470.25/14,297
  6. Step 6: Final answer
    x = 61,160.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.