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Finding the Third Proportional to 15,986 and 23,547

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Solution

The third proportional to 15,986 and 23,547 is: 34,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 23,547 = 23,547 : x
  2. Step 2: Convert to fraction form
    15,986/23,547 = 23,547/x
  3. Step 3: Cross multiply
    15,986x = 23,547 × 23,547
  4. Step 4: Simplify right side
    15,986x = 554,461,209
  5. Step 5: Solve for x
    x = 554,461,209/15,986
  6. Step 6: Final answer
    x = 34,684.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.