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Finding the Third Proportional to 16,547 and 23,146.50

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Solution

The third proportional to 16,547 and 23,146.50 is: 32,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547 : 23,146.50 = 23,146.50 : x
  2. Step 2: Convert to fraction form
    16,547/23,146.50 = 23,146.50/x
  3. Step 3: Cross multiply
    16,547x = 23,146.50 × 23,146.50
  4. Step 4: Simplify right side
    16,547x = 535,760,462.25
  5. Step 5: Solve for x
    x = 535,760,462.25/16,547
  6. Step 6: Final answer
    x = 32,378.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.