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Finding the Third Proportional to 15,710.63 and 23,095.13

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Solution

The third proportional to 15,710.63 and 23,095.13 is: 33,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.63 : 23,095.13 = 23,095.13 : x
  2. Step 2: Convert to fraction form
    15,710.63/23,095.13 = 23,095.13/x
  3. Step 3: Cross multiply
    15,710.63x = 23,095.13 × 23,095.13
  4. Step 4: Simplify right side
    15,710.63x = 533,384,798.77
  5. Step 5: Solve for x
    x = 533,384,798.77/15,710.63
  6. Step 6: Final answer
    x = 33,950.58

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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.