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Finding the Third Proportional to 7,898.34 and 17,547.47

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Solution

The third proportional to 7,898.34 and 17,547.47 is: 38,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.34 : 17,547.47 = 17,547.47 : x
  2. Step 2: Convert to fraction form
    7,898.34/17,547.47 = 17,547.47/x
  3. Step 3: Cross multiply
    7,898.34x = 17,547.47 × 17,547.47
  4. Step 4: Simplify right side
    7,898.34x = 307,913,659.53
  5. Step 5: Solve for x
    x = 307,913,659.53/7,898.34
  6. Step 6: Final answer
    x = 38,984.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.