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Finding the Third Proportional to 24,946.50 and 53,547

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Solution

The third proportional to 24,946.50 and 53,547 is: 114,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946.50 : 53,547 = 53,547 : x
  2. Step 2: Convert to fraction form
    24,946.50/53,547 = 53,547/x
  3. Step 3: Cross multiply
    24,946.50x = 53,547 × 53,547
  4. Step 4: Simplify right side
    24,946.50x = 2,867,281,209
  5. Step 5: Solve for x
    x = 2,867,281,209/24,946.50
  6. Step 6: Final answer
    x = 114,937.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.