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Finding the Third Proportional to 53,425.41 and 84,596.91

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Solution

The third proportional to 53,425.41 and 84,596.91 is: 133,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425.41 : 84,596.91 = 84,596.91 : x
  2. Step 2: Convert to fraction form
    53,425.41/84,596.91 = 84,596.91/x
  3. Step 3: Cross multiply
    53,425.41x = 84,596.91 × 84,596.91
  4. Step 4: Simplify right side
    53,425.41x = 7,156,636,547.07
  5. Step 5: Solve for x
    x = 7,156,636,547.07/53,425.41
  6. Step 6: Final answer
    x = 133,955.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.