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Finding the Third Proportional to 7,146 and 14,746.50

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Solution

The third proportional to 7,146 and 14,746.50 is: 30,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 14,746.50 = 14,746.50 : x
  2. Step 2: Convert to fraction form
    7,146/14,746.50 = 14,746.50/x
  3. Step 3: Cross multiply
    7,146x = 14,746.50 × 14,746.50
  4. Step 4: Simplify right side
    7,146x = 217,459,262.25
  5. Step 5: Solve for x
    x = 217,459,262.25/7,146
  6. Step 6: Final answer
    x = 30,430.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.